Question 1

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

Accepted Answer

A)   
B)   
C)   
D)    A

Question 2

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

Accepted Answer

A)   
B)   
C)   
D)    A

Question 3

Find the domain of the composite function f ∘ g.
-f(x)= 3x + 3; g(x)=

Accepted Answer

A)   
B)   
C)   
D)    A

Question 4

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The function  is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

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

Accepted Answer

A)   
B)   
C)   
D)

Question 6

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

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Find a formula for the inverse of the function described below.
-A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= x + 26.

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Solve the equation.
-

Accepted Answer

A)  {3}
B)   
C)  {1}
D)  {-3}

Question 10

Indicate whether the function is one-to-one.
-{(-5, -9), (-4, -9), (-3, 7), (-2, 4)}

Accepted Answer

A)  Yes
B)  No

Question 11

Find the domain of the composite function f ∘ g.
-f(x)=  ; g(x)=

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the
graph of y = x is also given.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Solve the problem.
-Find a so that the graph of  contains the point (8, 10).

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Find the exact value of the logarithmic expression.
-

Accepted Answer

A)  6
B)  e
C)   
D)  1

Question 15

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

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Find the domain of the composite function f ∘ g.
-f(x)=  ; g(x)=

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Solve the equation.
-

Accepted Answer

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

Question 18

The graph of a one-to-one function f is given. Draw the graph of the inverse function f  as a dashed line or curve.
-

Accepted Answer

A)    Function is its own inverse
B)

Question 19

Find a formula for the inverse of the function described below.
- Fahrenheit =  Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is

Accepted Answer

A)   
B)   
C)   
D)

Question 20

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

Accepted Answer

A)   
B)   
C)   
D)

Exam 6: Exponential and Logarithmic Functions

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

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

Find the domain of the composite function f ∘ g. -f(x) = 3x + 3; g(x) =

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The function is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

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

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

Solve the equation. -

Find a formula for the inverse of the function described below. -A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x) = x + 26.

Solve the equation. -

Indicate whether the function is one-to-one. -{(-5, -9) , (-4, -9) , (-3, 7) , (-2, 4) }

Find the domain of the composite function f ∘ g. -f(x) = ; g(x) =

Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the graph of y = x is also given. -

Solve the problem. -Find a so that the graph of contains the point (8, 10) .

Find the exact value of the logarithmic expression. -

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

Find the domain of the composite function f ∘ g. -f(x) = ; g(x) =

Solve the equation. -

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -

Find a formula for the inverse of the function described below. - Fahrenheit = Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is

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