Question 1

Find all real values of $x$ such that $f ( x ) = 0$.
$f ( x ) = \frac { - 3 x - 2 } { 5 }$

Accepted Answer

A)  $- \frac { 2 } { 15 }$ 
B)  $\pm \frac { 2 } { 15 }$ 
C)  $\pm \frac { 2 } { 3 }$ 
D)  $- \frac { 2 } { 3 }$ 
E)  $\frac { 2 } { 3 }$ 
A)  $- \frac { 2 } { 15 }$ 
B)  $\pm \frac { 2 } { 15 }$ 
C)  $\pm \frac { 2 } { 3 }$ 
D)  $- \frac { 2 } { 3 }$ 
E)  $\frac { 2 } { 3 }$

Question 2

Plot the points and find the slope of the line passing through the pair of points.
$( 3,4 ) , ( - 2,4 )$

Accepted Answer

A)  slope: 0 
B)  slope: 1 
C)  slope: $- 5$ 
D)  slope: $- \frac { 1 } { 5 }$ 
E)  slope: undefined 
A)  slope: 0 
B)  slope: 1 
C)  slope: $- 5$ 
D)  slope: $- \frac { 1 } { 5 }$ 
E)  slope: undefined

Question 3

Use function notation to write $g$ in terms of $f ( x ) = x ^ { 3 }$.
$g ( x ) = - \frac { 1 } { 4 } ( x + 9 ) ^ { 3 }$

Accepted Answer

A)  $ g ( x ) = - \frac { 1 } { 4 } [ f ( x ) ] ^ { 3 } + 9$ 
B)  $g ( x ) = - \frac { 1 } { 4 } [ f ( x ) + 9 ]$ 
C)  $g ( x ) = - [ f ( x ) ] ^ { 3 } + \frac { 729 } { 4 }$ 
D)  $g ( x ) = - \frac { 1 } { 4 } [ f ( x ) ] ^ { 3 } + 729$ 
E)  $ g ( x ) = - \frac { 1 } { 4 } [ f ( x + 9 ) ]$ 
A)  $ g ( x ) = - \frac { 1 } { 4 } [ f ( x ) ] ^ { 3 } + 9$ 
B)  $g ( x ) = - \frac { 1 } { 4 } [ f ( x ) + 9 ]$ 
C)  $g ( x ) = - [ f ( x ) ] ^ { 3 } + \frac { 729 } { 4 }$ 
D)  $g ( x ) = - \frac { 1 } { 4 } [ f ( x ) ] ^ { 3 } + 729$ 
E)  $ g ( x ) = - \frac { 1 } { 4 } [ f ( x + 9 ) ]$

Question 4

Algebraically determine whether the function below is even, odd, or neither.
$$f ( s ) = 8 s ^ { 7 / 6 }$$

Accepted Answer

A)  even 
B)  odd 
C)  cannot be determined 
D)  neither 
A)  even 
B)  odd 
C)  cannot be determined 
D)  neither

Question 5

Find the difference quotient and simplify your answer.
$f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0$

Accepted Answer

A)  $6 + h$ 
B)  $- 18 - 2 s - \frac { 16 } { s }$ 
C)  $- 2 - 2 s - \frac { 16 } { s }$ 
D)  $- 2 - 2 h$ 
E)  $- 18 - 2 h$ 
A)  $6 + h$ 
B)  $- 18 - 2 s - \frac { 16 } { s }$ 
C)  $- 2 - 2 s - \frac { 16 } { s }$ 
D)  $- 2 - 2 h$ 
E)  $- 18 - 2 h$

Question 6

Find $f \circ g$.
$f ( x ) = \left| x ^ { 2 } - 6 \right| \quad g ( x ) = - 9 - x$

Accepted Answer

A)  $( f \circ g ) ( x ) = \left| x ^ { 2 } + 18 x + 75 \right|$ 
B)  $( f \circ g ) ( x ) = \left| x ^ { 2 } + 75 \right|$ 
C)  $( f \circ g ) ( x ) = \left| - 3 - x ^ { 2 } \right|$ 
D)  $( f \circ g ) ( x ) = \left| - 15 - x ^ { 2 } \right|$ 
E)  $( f \circ g ) ( x ) = - 9 - \left| x ^ { 2 } - 6 \right|$ 
A)  $( f \circ g ) ( x ) = \left| x ^ { 2 } + 18 x + 75 \right|$ 
B)  $( f \circ g ) ( x ) = \left| x ^ { 2 } + 75 \right|$ 
C)  $( f \circ g ) ( x ) = \left| - 3 - x ^ { 2 } \right|$ 
D)  $( f \circ g ) ( x ) = \left| - 15 - x ^ { 2 } \right|$ 
E)  $( f \circ g ) ( x ) = - 9 - \left| x ^ { 2 } - 6 \right|$

Question 7

Find the inverse function of $f$.
$f ( x ) = x ^ { 5 } - 1$

Accepted Answer

A)  $f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x } - 1$ 
B)  $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } - 1$ 
C)  $f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x - 1 }$ 
D)  $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x + 1 }$ 
E)  $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } + 1$ 
A)  $f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x } - 1$ 
B)  $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } - 1$ 
C)  $f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x - 1 }$ 
D)  $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x + 1 }$ 
E)  $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } + 1$

Question 8

Evaluate the following function for $f ( x ) = - 2 x ^ { 2 } + 1 \text { and } g ( x ) = x + 4$
algebraically. $\left( \frac { f } { g } \right) ( q - 4 )$

Accepted Answer

A)  $\frac { - 2 q ^ { 2 } + 5 } { q + 8 }$ 
B)  $\frac { - 2 q ^ { 2 } + 8 q - 31 } { q }$ 
C)  $\frac { - 2 q ^ { 2 } + 5 } { q }$ 
D)  $\frac { - 2 q ^ { 2 } + 16 q - 31 } { q }$ 
E)  $\frac { - 2 q ^ { 2 } - 3 } { q }$ 
A)  $\frac { - 2 q ^ { 2 } + 5 } { q + 8 }$ 
B)  $\frac { - 2 q ^ { 2 } + 8 q - 31 } { q }$ 
C)  $\frac { - 2 q ^ { 2 } + 5 } { q }$ 
D)  $\frac { - 2 q ^ { 2 } + 16 q - 31 } { q }$ 
E)  $\frac { - 2 q ^ { 2 } - 3 } { q }$

Question 9

Determine a piecewise-defined function for the graph shown below.

Accepted Answer

A)  $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \ - ( x - 1 ) ^ { 2 } + 1 , & x > 1 \end{array} \right.$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 0 \ - ( x - 1 ) ^ { 2 } + 1 , & x \leq 0 \end{array} \right.$ 
C)  $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \geq 1 \ - x ^ { 2 } , & x \leq 1 \end{array} \right.$ 
D) 
$f ( x ) = \left\{ \begin{array} { l l } | x | , & x \geq 0 \ - x ^ { 2 } , & x \leq 1 \end{array} \right.$ 
E) 
$f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \ - ( x - 1 ) ^ { 2 } , & x > 1 \end{array} \right.$ 
A)  $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \ - ( x - 1 ) ^ { 2 } + 1 , & x > 1 \end{array} \right.$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 0 \ - ( x - 1 ) ^ { 2 } + 1 , & x \leq 0 \end{array} \right.$ 
C)  $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \geq 1 \ - x ^ { 2 } , & x \leq 1 \end{array} \right.$ 
D) 
$f ( x ) = \left\{ \begin{array} { l l } | x | , & x \geq 0 \ - x ^ { 2 } , & x \leq 1 \end{array} \right.$ 
E) 
$f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \ - ( x - 1 ) ^ { 2 } , & x > 1 \end{array} \right.$

Question 10

Decide whether the two functions shown in the graph below appear to be inverse functions of each other.

Accepted Answer

A)  yes 
B)  no 
C)  not enough information 
A)  yes 
B)  no 
C)  not enough information

Question 11

Find the domain of the function.
 $g ( w ) = \frac { - 7 w } { w - 5 }$

Accepted Answer

A)  all real numbers $w \neq 5$ 
B)  all real numbers $w \neq 5 , w \neq 0$ 
C)  all real numbers 
D)  $w = 5 , w = 0$ 
E)  $w = 5$ 
A)  all real numbers $w \neq 5$ 
B)  all real numbers $w \neq 5 , w \neq 0$ 
C)  all real numbers 
D)  $w = 5 , w = 0$ 
E)  $w = 5$

Question 12

If f is an even function, determine if g is even, odd, or neither. 
$g ( x ) = - f ( x - 2 )$

Accepted Answer

A)  even 
B)  odd 
C)  cannot be determined 
D)  neither 
A)  even 
B)  odd 
C)  cannot be determined 
D)  neither

Question 13

Find $f \circ g$.
$$f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$$

Accepted Answer

A)  $( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } }$ 
B)  $( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } + 8 x }$ 
C)  $( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 1 } { x ^ { 2 } - 16 }$ 
D)  $( f \circ g ) ( x ) = \frac { 7 } { x ^ { 2 } - 16 }$ 
E)  $( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 61 } { x ^ { 2 } - 16 }$ 
A)  $( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } }$ 
B)  $( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } + 8 x }$ 
C)  $( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 1 } { x ^ { 2 } - 16 }$ 
D)  $( f \circ g ) ( x ) = \frac { 7 } { x ^ { 2 } - 16 }$ 
E)  $( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 61 } { x ^ { 2 } - 16 }$

Question 14

Find $( f - g ) ( x )$
$f ( x ) = - \frac { 8 x } { 4 x + 7 } \quad g ( x ) = - \frac { 4 } { x }$

Accepted Answer

A)  $( f - g ) ( x ) = \frac { - 8 x + 4 } { 3 x + 7 }$ 
B)  $( f - g ) ( x ) = \frac { - 8 x + 23 } { 4 x + 7 }$ 
C)  $( f - g ) ( x ) = \frac { - 8 x + 9 } { 4 x + 7 }$ 
D)  $( f - g ) ( x ) = \frac { - 8 x ^ { 2 } + 16 x - 28 } { 4 x ^ { 2 } + 7 x }$ 
E)  $( f - g ) ( x ) = \frac { - 8 x ^ { 2 } + 16 x + 28 } { 4 x ^ { 2 } + 7 x }$ 
A)  $( f - g ) ( x ) = \frac { - 8 x + 4 } { 3 x + 7 }$ 
B)  $( f - g ) ( x ) = \frac { - 8 x + 23 } { 4 x + 7 }$ 
C)  $( f - g ) ( x ) = \frac { - 8 x + 9 } { 4 x + 7 }$ 
D)  $( f - g ) ( x ) = \frac { - 8 x ^ { 2 } + 16 x - 28 } { 4 x ^ { 2 } + 7 x }$ 
E)  $( f - g ) ( x ) = \frac { - 8 x ^ { 2 } + 16 x + 28 } { 4 x ^ { 2 } + 7 x }$

Question 15

Find all real values of $x$ such that $f ( x ) = 0$.
$$f ( x ) = \frac { - 2 x + 5 } { 5 }$$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $\pm \frac { 1 } { 2 }$ 
C)  $\pm \frac { 5 } { 2 }$ 
D)  $\frac { 5 } { 2 }$ 
E)  $- \frac { 5 } { 2 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  $\pm \frac { 1 } { 2 }$ 
C)  $\pm \frac { 5 } { 2 }$ 
D)  $\frac { 5 } { 2 }$ 
E)  $- \frac { 5 } { 2 }$

Question 16

Which equation does not represent $y$ as a function of $x$ ?

Accepted Answer

A)  $x = 6 y - 9$ 
B)  $x = - 5$ 
C)  $y = x + 5$ 
D)  $y = \left| - 1 - x ^ { 2 } \right|$ 
E)  $y = \sqrt { - 5 + 4 x }$ 
A)  $x = 6 y - 9$ 
B)  $x = - 5$ 
C)  $y = x + 5$ 
D)  $y = \left| - 1 - x ^ { 2 } \right|$ 
E)  $y = \sqrt { - 5 + 4 x }$

Question 17

Compare the graph of the following function with the graph of $f ( x ) = x ^ { 3 }$.
$y = [ 5 ( x + 10 ) ] ^ { 3 }$

Accepted Answer

A)  vertical shift of 10 units up vertical shift of 10 units up 
B)  horizontal shrink of $\frac { 1 } { 5 }$ units horizontal shift of 10 units to the left 
C)  horizontal shrink of $\frac { 1 } { 125 }$ units horizontal shift of 10 units to the left 
D)  horizontal stretch of $\frac { 1 } { 5 }$ units 
E)  horizontal shift of 10 units to the left vertical shift of 5 units up 
A)  vertical shift of 10 units up vertical shift of 10 units up 
B)  horizontal shrink of $\frac { 1 } { 5 }$ units horizontal shift of 10 units to the left 
C)  horizontal shrink of $\frac { 1 } { 125 }$ units horizontal shift of 10 units to the left 
D)  horizontal stretch of $\frac { 1 } { 5 }$ units 
E)  horizontal shift of 10 units to the left vertical shift of 5 units up

Question 18

Determine an equation that may represented by the graph shown below.

Accepted Answer

A)  $f ( x ) = - 1 + \sqrt { 1 + x }$ 
B)  $f ( x ) = 1 - \sqrt { 1 - x }$ 
C)  $f ( x ) = - 1 - \sqrt { 1 - x }$ 
D)  $f ( x ) = - 1 + \sqrt { 1 - x }$ 
E)  $f ( x ) = - 1 - \sqrt { 1 + x }$ 
A)  $f ( x ) = - 1 + \sqrt { 1 + x }$ 
B)  $f ( x ) = 1 - \sqrt { 1 - x }$ 
C)  $f ( x ) = - 1 - \sqrt { 1 - x }$ 
D)  $f ( x ) = - 1 + \sqrt { 1 - x }$ 
E)  $f ( x ) = - 1 - \sqrt { 1 + x }$

Question 19

Use the graphs of $f$ and $g$ to evaluate the function.
 
$( f \circ g ) ( 1 )$

Accepted Answer

A)  9 
B)  $- 1$ 
C)  $0$ 
D)  $- 4$ 
E)  $- 2$ 
A)  9 
B)  $- 1$ 
C)  $0$ 
D)  $- 4$ 
E)  $- 2$

Question 20

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the Variables.

Accepted Answer

A)  positive correlation 
B)  negative correlation 
C)  no discernible correlation 
A)  positive correlation 
B)  negative correlation 
C)  no discernible correlation

Find all real values of $x$ such that $f ( x ) = 0$ . $f ( x ) = \frac { - 3 x - 2 } { 5 }$

Plot the points and find the slope of the line passing through the pair of points. $( 3,4 ) , ( - 2,4 )$

Use function notation to write $g$ in terms of $f ( x ) = x ^ { 3 }$ . $g ( x ) = - \frac { 1 } { 4 } ( x + 9 ) ^ { 3 }$

Algebraically determine whether the function below is even, odd, or neither. $f ( s ) = 8 s ^ { 7 / 6 }$

Find the difference quotient and simplify your answer. $f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0$

Find $f \circ g$ . $f ( x ) = \left| x ^ { 2 } - 6 \right| \quad g ( x ) = - 9 - x$

Find the inverse function of $f$ . $f ( x ) = x ^ { 5 } - 1$

Evaluate the following function for $f ( x ) = - 2 x ^ { 2 } + 1 \text { and } g ( x ) = x + 4$ algebraically. $\left( \frac { f } { g } \right) ( q - 4 )$

Determine a piecewise-defined function for the graph shown below.

Decide whether the two functions shown in the graph below appear to be inverse functions of each other.

Find the domain of the function. $g ( w ) = \frac { - 7 w } { w - 5 }$

If f is an even function, determine if g is even, odd, or neither. $g ( x ) = - f ( x - 2 )$

Find $f \circ g$ . $f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$

Find $( f - g ) ( x )$ $f ( x ) = - \frac { 8 x } { 4 x + 7 } \quad g ( x ) = - \frac { 4 } { x }$

Find all real values of $x$ such that $f ( x ) = 0$ . $f ( x ) = \frac { - 2 x + 5 } { 5 }$

Which equation does not represent $y$ as a function of $x$ ?

Compare the graph of the following function with the graph of $f ( x ) = x ^ { 3 }$ . $y = [ 5 ( x + 10 ) ] ^ { 3 }$

Determine an equation that may represented by the graph shown below.

Use the graphs of $f$ and $g$ to evaluate the function. $Use the graphs of f and g to evaluate the function. ( f \circ g ) ( 1 )$ $( f \circ g ) ( 1 )$

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the Variables.

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Analytic Geometry in Three Dimensions

Limits and an Introduction to Calculus

Review of Graphs, Equations, and Inequalities

Filters

Exam 1: Functions and Their Graphs

Find all real values of xxx such that f(x)=0f ( x ) = 0f(x)=0 . f(x)=−3x−25f ( x ) = \frac { - 3 x - 2 } { 5 }f(x)=5−3x−2​

Plot the points and find the slope of the line passing through the pair of points. (3,4),(−2,4)( 3,4 ) , ( - 2,4 )(3,4),(−2,4)

Use function notation to write ggg in terms of f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 . g(x)=−14(x+9)3g ( x ) = - \frac { 1 } { 4 } ( x + 9 ) ^ { 3 }g(x)=−41​(x+9)3

Algebraically determine whether the function below is even, odd, or neither. f(s)=8s7/6f ( s ) = 8 s ^ { 7 / 6 }f(s)=8s7/6

Find the difference quotient and simplify your answer. f(s)=−2s2−2s,f(4+h)−f(4)h,h≠0f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0f(s)=−2s2−2s,hf(4+h)−f(4)​,h=0

Find f∘gf \circ gf∘g . f(x)=∣x2−6∣g(x)=−9−xf ( x ) = \left| x ^ { 2 } - 6 \right| \quad g ( x ) = - 9 - xf(x)=​x2−6​g(x)=−9−x

Find the inverse function of fff . f(x)=x5−1f ( x ) = x ^ { 5 } - 1f(x)=x5−1

Evaluate the following function for f(x)=−2x2+1 and g(x)=x+4f ( x ) = - 2 x ^ { 2 } + 1 \text { and } g ( x ) = x + 4f(x)=−2x2+1 and g(x)=x+4 algebraically. (fg)(q−4)\left( \frac { f } { g } \right) ( q - 4 )(gf​)(q−4)

Determine a piecewise-defined function for the graph shown below.

Decide whether the two functions shown in the graph below appear to be inverse functions of each other.

Find the domain of the function. g(w)=−7ww−5g ( w ) = \frac { - 7 w } { w - 5 }g(w)=w−5−7w​

If f is an even function, determine if g is even, odd, or neither. g(x)=−f(x−2)g ( x ) = - f ( x - 2 )g(x)=−f(x−2)

Find f∘gf \circ gf∘g . f(x)=x+4g(x)=3x2−16f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }f(x)=x+4g(x)=x2−163​

Find (f−g)(x)( f - g ) ( x )(f−g)(x) f(x)=−8x4x+7g(x)=−4xf ( x ) = - \frac { 8 x } { 4 x + 7 } \quad g ( x ) = - \frac { 4 } { x }f(x)=−4x+78x​g(x)=−x4​

Find all real values of xxx such that f(x)=0f ( x ) = 0f(x)=0 . f(x)=−2x+55f ( x ) = \frac { - 2 x + 5 } { 5 }f(x)=5−2x+5​

Which equation does not represent yyy as a function of xxx ?

Compare the graph of the following function with the graph of f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 . y=[5(x+10)]3y = [ 5 ( x + 10 ) ] ^ { 3 }y=[5(x+10)]3

Determine an equation that may represented by the graph shown below.

Use the graphs of fff and ggg to evaluate the function. (f∘g)(1)( f \circ g ) ( 1 )(f∘g)(1)

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the Variables.

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Analytic Geometry in Three Dimensions

Limits and an Introduction to Calculus

Review of Graphs, Equations, and Inequalities

Filters

Find all real values of $x$ such that $f ( x ) = 0$ . $f ( x ) = \frac { - 3 x - 2 } { 5 }$

Plot the points and find the slope of the line passing through the pair of points. $( 3,4 ) , ( - 2,4 )$

Use function notation to write $g$ in terms of $f ( x ) = x ^ { 3 }$ . $g ( x ) = - \frac { 1 } { 4 } ( x + 9 ) ^ { 3 }$

Algebraically determine whether the function below is even, odd, or neither. $f ( s ) = 8 s ^ { 7 / 6 }$

Find the difference quotient and simplify your answer. $f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0$

Find $f \circ g$ . $f ( x ) = \left| x ^ { 2 } - 6 \right| \quad g ( x ) = - 9 - x$

Find the inverse function of $f$ . $f ( x ) = x ^ { 5 } - 1$

Evaluate the following function for $f ( x ) = - 2 x ^ { 2 } + 1 \text { and } g ( x ) = x + 4$ algebraically. $\left( \frac { f } { g } \right) ( q - 4 )$

Find the domain of the function. $g ( w ) = \frac { - 7 w } { w - 5 }$

If f is an even function, determine if g is even, odd, or neither. $g ( x ) = - f ( x - 2 )$

Find $f \circ g$ . $f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$

Find $( f - g ) ( x )$ $f ( x ) = - \frac { 8 x } { 4 x + 7 } \quad g ( x ) = - \frac { 4 } { x }$

Find all real values of $x$ such that $f ( x ) = 0$ . $f ( x ) = \frac { - 2 x + 5 } { 5 }$

Which equation does not represent $y$ as a function of $x$ ?

Compare the graph of the following function with the graph of $f ( x ) = x ^ { 3 }$ . $y = [ 5 ( x + 10 ) ] ^ { 3 }$

Use the graphs of $f$ and $g$ to evaluate the function. $Use the graphs of f and g to evaluate the function. ( f \circ g ) ( 1 )$ $( f \circ g ) ( 1 )$