# Precalculus : Inverse Functions

## Example Questions

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### Example Question #121 : Functions

Find the inverse function of .

Possible Answers: None of the other answers.   Correct answer: Explanation:

To find the inverse you must reverse the variables and solve for y.

Reverse the variables:   Solve for y:    ### Example Question #122 : Functions

Are these two function inverses? and .

Possible Answers:

G(x) does not have an inverse.

No

Cannot tell

Yes

F(x) does not have an inverse.

Correct answer:

Yes

Explanation:

One can ascertain if two functions have an inverse by finding the composition of both functions in turn. Each composition should equal x if the functions are indeed inverses of each other.  The functions are inverses of each other.

### Example Question #123 : Functions

Find the inverse of the following equation: Possible Answers:    Correct answer: Explanation:

To find the inverse of a function, replace the x any y positions:

Original Equation: Inversed Equation: Now solve for the inversed y value.   ### Example Question #124 : Functions

Find the inverse of the following equation: Possible Answers:    Correct answer: Explanation:

To find the inverse of a function, replace the x any y positions:

Original Equation: Inversed Equation: Now solve for the inversed y value.    ### Example Question #125 : Functions

Find the inverse of the following equation: Possible Answers:    Correct answer: Explanation:

To find the inverse of a function, replace the x any y positions:

Original Equation: Inversed Equation: Now solve for the inversed y value.     ### Example Question #126 : Functions

Determine the inverse function, given Possible Answers:    Correct answer: Explanation:

In order to find the inverse function we

1. switch the variables and 2. solve for the new variable

For the function ...   Hence, the inverse function is 1 2 3 5 Next →

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