Question 1

For the given functions f and g, find the requested composite function value.
- g(x)=  Find (g ∘ f)(-2).

Accepted Answer

A) 25 
B) 13 
C)   
D)

Question 2

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Change the exponential expression to an equivalent expression involving a logarithm.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Solve the equation.
-

Accepted Answer

A) {3, -3} 
B)   
C) {3} 
D) {6}

Question 5

Decide whether or not the functions are inverses of each other.
-f(x)= 4x + 16, g(x)=

Accepted Answer

A) Yes 
B) No

Question 6

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Solve the equation.
-

Accepted Answer

A) {3} 
B)   
C) {4} 
D) {-3}

Question 8

Use a calculator to evaluate the expression. Round your answer to three decimal places
-

Accepted Answer

A) -2.244 
B) 1.065 
C) -5.166 
D) 0.423

Question 9

Find functions f and g so that f ∘ g = H.
-H(x)=

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Use the horizontal line test to determine whether the function is one -to-one.
-

Accepted Answer

A) Yes 
B) No

Question 11

The graph of an exponential function is given. Match the graph to one of the following functions.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Indicate whether the function is one-to-one.
-{(-10, 4), (-15, 4), (-16, 1)}

Accepted Answer

A) Yes 
B) No

Question 13

Solve the equation.
-

Accepted Answer

A) {5, 6} 
B) {-5, -6} 
C) {5} 
D) {6}

Question 14

Solve the equation.
-1

Accepted Answer

A)   
B)   
C)   
D)

Question 15

The function f is one-to-one. Find its inverse.
-f

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=  , g(x)= 4x - 7

Accepted Answer

A) Yes, yes 
B) No, no 
C) Yes, no 
D) No, yes

Question 17

For the given functions f and g, find the requested composite function.
-f(x)= x  , g(x)=  ; Find (f ∘ g)(x).

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=  , g(x)=

Accepted Answer

A) Yes, yes 
B) No, no 
C) No, yes 
D) Yes, no

Question 19

Change the logarithmic expression to an equivalent expression involving an exponent.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Find the domain of the function.
-f

Accepted Answer

A)   
B) (-5, 4) 
C)   
D)

Exam 6: Exponential and Logarithmic Functions

For the given functions f and g, find the requested composite function value. - g(x) = Find (g ∘ f) (-2) .

Graph the function. -

Change the exponential expression to an equivalent expression involving a logarithm. -

Solve the equation. -

Decide whether or not the functions are inverses of each other. -f(x) = 4x + 16, g(x) =

Graph the function. -

Solve the equation. -

Use a calculator to evaluate the expression. Round your answer to three decimal places -

Find functions f and g so that f ∘ g = H. -H(x) =

Use the horizontal line test to determine whether the function is one -to-one. -

The graph of an exponential function is given. Match the graph to one of the following functions. -

Indicate whether the function is one-to-one. -{(-10, 4) , (-15, 4) , (-16, 1) }

Solve the equation. -

Solve the equation. -1

The function f is one-to-one. Find its inverse. -f

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x) = , g(x) = 4x - 7

For the given functions f and g, find the requested composite function. -f(x) = x , g(x) = ; Find (f ∘ g) (x) .

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x) = , g(x) =

Change the logarithmic expression to an equivalent expression involving an exponent. -

Find the domain of the function. -f