Question 1

Find $g \circ f$ .​ $f ( x ) = x - 9 \quad g ( x ) = x ^ { 2 }$ ​

Accepted Answer

A)  $( g \circ f ) ( x ) = x ^ { 2 } - 18 x + 81$ 
B)  $( g \circ f ) ( x ) = x ^ { 2 } - 81$ 
C)  $( g \circ f ) ( x ) = x ^ { 2 } - 9 x + 81$ ​ 
D)  $( g \circ f ) ( x ) = x ^ { 2 } - 9$ 
E)  $( g \circ f ) ( x ) = x ^ { 2 } + 81$ 
A)  $( g \circ f ) ( x ) = x ^ { 2 } - 18 x + 81$ 
B)  $( g \circ f ) ( x ) = x ^ { 2 } - 81$ 
C)  $( g \circ f ) ( x ) = x ^ { 2 } - 9 x + 81$ ​ 
D)  $( g \circ f ) ( x ) = x ^ { 2 } - 9$ 
E)  $( g \circ f ) ( x ) = x ^ { 2 } + 81$

Question 2

From 2003 through 2008,the sales $R _ { 1 }$ (in thousands of dollars)for one of two restaurants owned by the same parent company can be modeled by​ $R _ { 1 } = 480 - 6 t - 0.6 t ^ { 2 } , t = 3,4,5,6,7,8$ ​ where t = 3 represents 2003.During the same six-year period,the sales $R _ { 2 }$ (in thousands of dollars)for the second restaurant can be modeled by​ $R _ { 2 } = 259 + 0.77 t , t = 3,4,5,6,7,8$ ​
Write a function $R _ { 3 }$ that represents the total sales of the two restaurants owned by the same parent company.
​

Accepted Answer

A) ​ $R _ { 3 } = 739 - 5.23 t ^ { 2 } - 0.6 t$ 
B) ​ $$R _ { 3 } = 739 - 5.23 t + 0.6 t ^ { 2 }$$ 
C) ​ $$R _ { 3 } = 221 - 6.77 t ^ { 2 } - 0.6 t$$ 
D) ​ $R _ { 3 } = 739 - 5.23 t ^ { 2 } + 0.6 t$ 
E) ​ $R _ { 3 } = 739 - 5.23 t - 0.6 t ^ { 2 }$ 
A) ​ $R _ { 3 } = 739 - 5.23 t ^ { 2 } - 0.6 t$ 
B) ​ $$R _ { 3 } = 739 - 5.23 t + 0.6 t ^ { 2 }$$ 
C) ​ $$R _ { 3 } = 221 - 6.77 t ^ { 2 } - 0.6 t$$ 
D) ​ $R _ { 3 } = 739 - 5.23 t ^ { 2 } + 0.6 t$ 
E) ​ $R _ { 3 } = 739 - 5.23 t - 0.6 t ^ { 2 }$

Question 3

Find (f - g)(x).​ $$f ( x ) = 2 x - 2 , g ( x ) = 4 - x$$ ​

Accepted Answer

A)  $3 x - 6$ 
B)  $2 x + 6$ 
C)  $2 x - 6$ 
D)  $x - 6$ 
E)  $3 x + 6$ 
A)  $3 x - 6$ 
B)  $2 x + 6$ 
C)  $2 x - 6$ 
D)  $x - 6$ 
E)  $3 x + 6$

Question 4

​​​Evaluate the indicated function for $f ( x ) = x ^ { 2 } + 6$ and $g ( x ) = x - 5$ .​ $( f / g ) ( - 4 ) - g ( 6 )$ ​ ​

Accepted Answer

A)  $- \frac { 5 } { 26 }$ 
B)  $- \frac { 31 } { 9 }$ 
C)  $- \frac { 9 } { 13 }$ 
D)  $- \frac { 13 } { 9 }$ 
E)  $- \frac { 9 } { 31 }$ 
A)  $- \frac { 5 } { 26 }$ 
B)  $- \frac { 31 } { 9 }$ 
C)  $- \frac { 9 } { 13 }$ 
D)  $- \frac { 13 } { 9 }$ 
E)  $- \frac { 9 } { 31 }$

Question 5

Evaluate the indicated function for $f ( x ) = x ^ { 2 } + 3$ and $g ( x ) = x - 6$ .​ $( f - g ) ( 0 )$ ​ ​

Accepted Answer

A) 48 
B) 39 
C) 9 
D) 0 
E) -39 
A) 48 
B) 39 
C) 9 
D) 0 
E) -39

Question 6

​​Evaluate the indicated function for $f ( x ) = x ^ { 2 } + 5$ and $g ( x ) = x - 4$ .​ $( f / g ) ( 5 )$ ​ ​

Accepted Answer

A) 30 
B)  $\frac { 5 } { 34 }$ 
C)  $\frac { 32 } { 3 }$ 
D)  $\frac { 2 } { 31 }$ 
E)  $\frac { 34 } { 5 }$ 
A) 30 
B)  $\frac { 5 } { 34 }$ 
C)  $\frac { 32 } { 3 }$ 
D)  $\frac { 2 } { 31 }$ 
E)  $\frac { 34 } { 5 }$

Question 7

Find $f \circ g$ .​ $f ( x ) = x + 3 \quad g ( x ) = \frac { 1 } { x ^ { 2 } - 9 }$ ​

Accepted Answer

A)  $( f \circ g ) ( x ) = \frac { 1 } { x ^ { 2 } }$ 
B)  $( f \circ g ) ( x ) = \frac { 4 } { x ^ { 2 } - 9 }$ 
C)  $( f \circ g ) ( x ) = \frac { 3 x ^ { 2 } - 2 } { x ^ { 2 } - 9 }$ 
D)  $( f \circ g ) ( x ) = \frac { 1 } { x ^ { 2 } + 6 x }$ 
E)  $( f \circ g ) ( x ) = \frac { 3 x ^ { 2 } - 26 } { x ^ { 2 } - 9 }$ 
A)  $( f \circ g ) ( x ) = \frac { 1 } { x ^ { 2 } }$ 
B)  $( f \circ g ) ( x ) = \frac { 4 } { x ^ { 2 } - 9 }$ 
C)  $( f \circ g ) ( x ) = \frac { 3 x ^ { 2 } - 2 } { x ^ { 2 } - 9 }$ 
D)  $( f \circ g ) ( x ) = \frac { 1 } { x ^ { 2 } + 6 x }$ 
E)  $( f \circ g ) ( x ) = \frac { 3 x ^ { 2 } - 26 } { x ^ { 2 } - 9 }$

Question 8

A pebble is dropped into a calm pond,causing ripples in the form of concentric circles.The radius (in feet)of the outer ripple is $r ( t ) = 0.2 t$ ,where t is the time in seconds after the pebble strikes the water.The area of the circle is given by the function $A ( r ) = \pi r ^ { 2 }$ .Find and interpret $( A \circ r ) ( t )$ . ​

Accepted Answer

A)  $$( A \circ r ) ( t ) = 0.2 \pi t$$ ; $$( A \circ r ) ( t )$$ represents the area of the circle at time t. 
B)  $( A \circ r ) ( t ) = 0.2 \pi t ^ { 2 }$ ; $( A \circ r ) ( t )$ represents the area of the circle at time t. 
C)  $$( A \circ r ) ( t ) = 0.04 \pi t$$ ; $( A \circ r ) ( t )$ represents the area of the circle at time t. 
D)  $( A \circ r ) ( t ) = 0.04 \pi t ^ { 2 }$ ; $$( A \circ r ) ( t )$$ represents the area of the circle at time t. 
E)  $$( A \circ r ) ( t ) = 0.04 \pi t ^ { 3 }$$ ; $( A \circ r ) ( t )$ represents the area of the circle at time t. 
A)  $$( A \circ r ) ( t ) = 0.2 \pi t$$ ; $$( A \circ r ) ( t )$$ represents the area of the circle at time t. 
B)  $( A \circ r ) ( t ) = 0.2 \pi t ^ { 2 }$ ; $( A \circ r ) ( t )$ represents the area of the circle at time t. 
C)  $$( A \circ r ) ( t ) = 0.04 \pi t$$ ; $( A \circ r ) ( t )$ represents the area of the circle at time t. 
D)  $( A \circ r ) ( t ) = 0.04 \pi t ^ { 2 }$ ; $$( A \circ r ) ( t )$$ represents the area of the circle at time t. 
E)  $$( A \circ r ) ( t ) = 0.04 \pi t ^ { 3 }$$ ; $( A \circ r ) ( t )$ represents the area of the circle at time t.

Question 9

Let f (x)= 2x + 1,g (x)= 3x - 2.Find the function$( f - g ) ( x )$
Please give the responce as a simplified expression (not an equation).

Accepted Answer

The answer of Let f (x)= 2x + 1,g (x)=...

Question 10

Find $( f - g ) ( x )$ .​ $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }$ ​

Accepted Answer

A)  $x ^ { 2 } + 3 + \sqrt { 5 - x }$ 
B)  $x ^ { 2 } - 3 + \sqrt { 5 - x }$ 
C)  $x ^ { 2 } - 3 + \sqrt { 5 + x }$ 
D)  $x ^ { 2 } + 3 - \sqrt { 5 - x }$ 
E)  $x ^ { 2 } - 3 - \sqrt { 5 - x }$ 
A)  $x ^ { 2 } + 3 + \sqrt { 5 - x }$ 
B)  $x ^ { 2 } - 3 + \sqrt { 5 - x }$ 
C)  $x ^ { 2 } - 3 + \sqrt { 5 + x }$ 
D)  $x ^ { 2 } + 3 - \sqrt { 5 - x }$ 
E)  $x ^ { 2 } - 3 - \sqrt { 5 - x }$

Question 11

​Find $g \circ g$ .​ $g ( x ) = x - 2$ ​

Accepted Answer

A)  $$( x - 2 ) ^ { 2 }$$ 
B)  $x ^ { 2 } - 2$ 
C)  $x + 4$ 
D)  $- x - 4$ 
E)  $x - 4$ 
A)  $$( x - 2 ) ^ { 2 }$$ 
B)  $x ^ { 2 } - 2$ 
C)  $x + 4$ 
D)  $- x - 4$ 
E)  $x - 4$

Question 12

Find (f / g)(x).What is the domain of f / g?​ $$f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3$$ ​

Accepted Answer

A)  $$- \frac { x ^ { 2 } } { 7 x - 3 }$$ ;all real numbers x. 
B)  $\frac { 7 x + 3 } { x ^ { 2 } }$ ;all real numbers x except x = 0 
C)  $\frac { x ^ { 2 } } { 7 x - 3 }$ ;all real numbers x except x = $\frac { 3 } { 7 }$ 
D)  $\frac { 7 x - 3 } { x ^ { 2 } }$ ;all real numbers x except x = 0 
E)  $\frac { x ^ { 2 } } { 7 x + 3 }$ ;all real numbers x except x = $\frac { 7 } { 3 }$ 
A)  $$- \frac { x ^ { 2 } } { 7 x - 3 }$$ ;all real numbers x. 
B)  $\frac { 7 x + 3 } { x ^ { 2 } }$ ;all real numbers x except x = 0 
C)  $\frac { x ^ { 2 } } { 7 x - 3 }$ ;all real numbers x except x = $\frac { 3 } { 7 }$ 
D)  $\frac { 7 x - 3 } { x ^ { 2 } }$ ;all real numbers x except x = 0 
E)  $\frac { x ^ { 2 } } { 7 x + 3 }$ ;all real numbers x except x = $\frac { 7 } { 3 }$

Question 13

Find (f - g)(x).​ $$f ( x ) = x + 3 , g ( x ) = x - 3$$ ​

Accepted Answer

A) 2x - 6 
B) 6 
C) 2x - 3 
D) 2x + 6 
E) 2x 
A) 2x - 6 
B) 6 
C) 2x - 3 
D) 2x + 6 
E) 2x

Question 14

Use the graphs of f and g to evaluate the function.     $( f \circ g ) ( 3 )$

Accepted Answer

A) 1 
B) -2 
C) 4 
D) -1 
E) 2 
A) 1 
B) -2 
C) 4 
D) -1 
E) 2

Question 15

Let $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$ .Find the composite function which expresses the given correspondence correctly.​ $\frac { 1 } { x + 5 }$ ​

Accepted Answer

A)  $$( g \circ g ) ( x )$$ 
B)  $$( g \circ f ) ( x )$$ 
C)  $( f \circ f ) ( x )$ 
D)  $( f \circ g ) ( x )$ 
E) none of the above 
A)  $$( g \circ g ) ( x )$$ 
B)  $$( g \circ f ) ( x )$$ 
C)  $( f \circ f ) ( x )$ 
D)  $( f \circ g ) ( x )$ 
E) none of the above

Question 16

The number of people playing tennis T (in millions)in the United States from 2000 through 2007 can be approximated by the function​ $T ( t ) = 0.0235 t ^ { 4 } - 0.3401 t ^ { 3 } + 2.556 t ^ { 2 } - 6.86 t + 23.8$ ​ and the U.S.population P (in millions)from 2000 through 2007 can be approximated by the function $P ( t ) = 5.8 t + 224.5$ ,where t represents the year,with t = 0 corresponding to 2000.
Evaluate the function $h ( t ) = \frac { 0.0235 t ^ { 4 } - 0.3401 t ^ { 3 } + 2.556 t ^ { 2 } - 6.86 t + 23.8 } { 5.8 t + 224.5 }$ for t = 0 and 3.

Accepted Answer

A) h(0)= 0.1060,h(3)= 0.0783 
B) h(0)= 0.3060,h(3)= 0.2783 
C) h(0)= -0.2060,h(3)= -0.1783 
D) h(0)= 0.1783,h(3)= 0.2060 
E) h(0)= -0.1060,h(3)= -0.0783 
A) h(0)= 0.1060,h(3)= 0.0783 
B) h(0)= 0.3060,h(3)= 0.2783 
C) h(0)= -0.2060,h(3)= -0.1783 
D) h(0)= 0.1783,h(3)= 0.2060 
E) h(0)= -0.1060,h(3)= -0.0783

Question 17

Consider the functions $f ( x ) = x ^ { 3 }$ and $g ( x ) = \sqrt { x }$ . ​
Find $f / g$ .
​

Accepted Answer

A)  $x ^ { 3 } \sqrt { x }$ 
B)  $\frac { \sqrt { x } } { x ^ { 2 } }$ 
C)  $\frac { \sqrt { x } } { x ^ { 3 } }$ 
D)  $\frac { x ^ { 2 } \sqrt { x } } { x }$ 
E)  $x ^ { 2 } \sqrt { x }$ 
A)  $x ^ { 3 } \sqrt { x }$ 
B)  $\frac { \sqrt { x } } { x ^ { 2 } }$ 
C)  $\frac { \sqrt { x } } { x ^ { 3 } }$ 
D)  $\frac { x ^ { 2 } \sqrt { x } } { x }$ 
E)  $x ^ { 2 } \sqrt { x }$

Question 18

Find ( f / g )(x). $f ( x ) = x ^ { 2 } - 4 x \quad g ( x ) = 7 - x$ ​

Accepted Answer

A)  $( f / g ) ( x ) = \frac { x ^ { 2 } - 4 x } { 7 - x } , x \neq 0$ 
B)  $( f / g ) ( x ) = \frac { x - 4 } { 7 } , x \neq 0$ 
C)  $( f / g ) ( x ) = \frac { x ^ { 2 } } { 7 } + 4 , x \neq 0$ 
D)  $( f / g ) ( x ) = \frac { x ^ { 2 } - 4 x } { 7 - x } , x \neq 7$ ​ 
E)  $( f / g ) ( x ) = \frac { x ^ { 2 } - 4 x } { 7 - x } , x \neq - 7$ 
A)  $( f / g ) ( x ) = \frac { x ^ { 2 } - 4 x } { 7 - x } , x \neq 0$ 
B)  $( f / g ) ( x ) = \frac { x - 4 } { 7 } , x \neq 0$ 
C)  $( f / g ) ( x ) = \frac { x ^ { 2 } } { 7 } + 4 , x \neq 0$ 
D)  $( f / g ) ( x ) = \frac { x ^ { 2 } - 4 x } { 7 - x } , x \neq 7$ ​ 
E)  $( f / g ) ( x ) = \frac { x ^ { 2 } - 4 x } { 7 - x } , x \neq - 7$

Question 19

Find (f + g)(x).​ $$f ( x ) = 2 x - 3 , g ( x ) = 4 - x$$ ​

Accepted Answer

A)  $$3 x - 1$$ 
B)  $2 x - 1$ 
C)  $$2 x + 1$$ 
D)  $3 x + 1$ 
E)  $x + 1$ 
A)  $$3 x - 1$$ 
B)  $2 x - 1$ 
C)  $$2 x + 1$$ 
D)  $3 x + 1$ 
E)  $x + 1$

Question 20

Find $f \circ g$ .​ $f ( x ) = x ^ { 2 } , g ( x ) = x - 2$ ​

Accepted Answer

A)  $x ^ { 2 }$ 
B)  $( x - 2 ) ^ { 2 }$ 
C)  $( x + 2 ) ^ { 2 }$ 
D)  $\left( x ^ { 2 } - 2 \right)$ 
E)  $\left( x ^ { 2 } + 2 \right)$ 
A)  $x ^ { 2 }$ 
B)  $( x - 2 ) ^ { 2 }$ 
C)  $( x + 2 ) ^ { 2 }$ 
D)  $\left( x ^ { 2 } - 2 \right)$ 
E)  $\left( x ^ { 2 } + 2 \right)$

Exam 8: Combinations of Functions Composite Functions

Find g∘fg \circ fg∘f .​ f(x)=x−9g(x)=x2f ( x ) = x - 9 \quad g ( x ) = x ^ { 2 }f(x)=x−9g(x)=x2 ​

Find (f - g)(x).​ f(x)=2x−2,g(x)=4−xf ( x ) = 2 x - 2 , g ( x ) = 4 - xf(x)=2x−2,g(x)=4−x ​

​​​Evaluate the indicated function for f(x)=x2+6f ( x ) = x ^ { 2 } + 6f(x)=x2+6 and g(x)=x−5g ( x ) = x - 5g(x)=x−5 .​ (f/g)(−4)−g(6)( f / g ) ( - 4 ) - g ( 6 )(f/g)(−4)−g(6) ​ ​

Evaluate the indicated function for f(x)=x2+3f ( x ) = x ^ { 2 } + 3f(x)=x2+3 and g(x)=x−6g ( x ) = x - 6g(x)=x−6 .​ (f−g)(0)( f - g ) ( 0 )(f−g)(0) ​ ​

​​Evaluate the indicated function for f(x)=x2+5f ( x ) = x ^ { 2 } + 5f(x)=x2+5 and g(x)=x−4g ( x ) = x - 4g(x)=x−4 .​ (f/g)(5)( f / g ) ( 5 )(f/g)(5) ​ ​

Find f∘gf \circ gf∘g .​ f(x)=x+3g(x)=1x2−9f ( x ) = x + 3 \quad g ( x ) = \frac { 1 } { x ^ { 2 } - 9 }f(x)=x+3g(x)=x2−91​ ​

Let f (x)= 2x + 1,g (x)= 3x - 2.Find the function (f−g)(x)( f - g ) ( x )(f−g)(x) Please give the responce as a simplified expression (not an equation).

Find (f−g)(x)( f - g ) ( x )(f−g)(x) .​ f(x)=x2+3,g(x)=5−xf ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }f(x)=x2+3,g(x)=5−x​ ​

​Find g∘gg \circ gg∘g .​ g(x)=x−2g ( x ) = x - 2g(x)=x−2 ​

Find (f / g)(x).What is the domain of f / g?​ f(x)=x2,g(x)=7x−3f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3f(x)=x2,g(x)=7x−3 ​

Find (f - g)(x).​ f(x)=x+3,g(x)=x−3f ( x ) = x + 3 , g ( x ) = x - 3f(x)=x+3,g(x)=x−3 ​

Use the graphs of f and g to evaluate the function. (f∘g)(3)( f \circ g ) ( 3 )(f∘g)(3)

Let f(x)=1x,g(x)=x+5f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5f(x)=x1​,g(x)=x+5 .Find the composite function which expresses the given correspondence correctly.​ 1x+5\frac { 1 } { x + 5 }x+51​ ​

Consider the functions f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 and g(x)=xg ( x ) = \sqrt { x }g(x)=x​ . ​ Find f/gf / gf/g . ​

Find ( f / g )(x). f(x)=x2−4xg(x)=7−xf ( x ) = x ^ { 2 } - 4 x \quad g ( x ) = 7 - xf(x)=x2−4xg(x)=7−x ​

Find (f + g)(x).​ f(x)=2x−3,g(x)=4−xf ( x ) = 2 x - 3 , g ( x ) = 4 - xf(x)=2x−3,g(x)=4−x ​

Find f∘gf \circ gf∘g .​ f(x)=x2,g(x)=x−2f ( x ) = x ^ { 2 } , g ( x ) = x - 2f(x)=x2,g(x)=x−2 ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

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Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

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Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

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Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

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Linear Programming

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The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

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Mathematical Induction

The Binomial Theorem

Counting Principles

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Lines

Introduction to Conics Parabolas

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Rotation of Conics

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

Find (f - g)(x). $f ( x ) = 2 x - 2 , g ( x ) = 4 - x$

Evaluate the indicated function for $f ( x ) = x ^ { 2 } + 6$ and $g ( x ) = x - 5$ . $( f / g ) ( - 4 ) - g ( 6 )$

Evaluate the indicated function for $f ( x ) = x ^ { 2 } + 3$ and $g ( x ) = x - 6$ . $( f - g ) ( 0 )$

Evaluate the indicated function for $f ( x ) = x ^ { 2 } + 5$ and $g ( x ) = x - 4$ . $( f / g ) ( 5 )$

Find $f \circ g$ . $f ( x ) = x + 3 \quad g ( x ) = \frac { 1 } { x ^ { 2 } - 9 }$

Let f (x)= 2x + 1,g (x)= 3x - 2.Find the function $( f - g ) ( x )$ Please give the responce as a simplified expression (not an equation).

Find $( f - g ) ( x )$ . $f ( x ) = x ^ { 2 } + 3 , g ( x ) = \sqrt { 5 - x }$

Find $g \circ g$ . $g ( x ) = x - 2$

Find (f / g)(x).What is the domain of f / g? $f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3$

Find (f - g)(x). $f ( x ) = x + 3 , g ( x ) = x - 3$

Use the graphs of f and g to evaluate the function. $Use the graphs of f and g to evaluate the function. ( f \circ g ) ( 3 )$ $Use the graphs of f and g to evaluate the function. ( f \circ g ) ( 3 )$ $( f \circ g ) ( 3 )$

Let $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$ .Find the composite function which expresses the given correspondence correctly. $\frac { 1 } { x + 5 }$

Consider the functions $f ( x ) = x ^ { 3 }$ and $g ( x ) = \sqrt { x }$ . Find $f / g$ .

Find ( f / g )(x). $f ( x ) = x ^ { 2 } - 4 x \quad g ( x ) = 7 - x$

Find (f + g)(x). $f ( x ) = 2 x - 3 , g ( x ) = 4 - x$

Find $f \circ g$ . $f ( x ) = x ^ { 2 } , g ( x ) = x - 2$