# Lesson Worksheet: Inverse of a Function Mathematics

In this worksheet, we will practice finding the inverse of a function by changing the subject of the formula.

**Q5: **

Find the inverse of the function .

- A
- B
- C
- D
- E

**Q6: **

Jacob is trying to find the inverse of . He sets and then finds and then . What does Jacob determine to be?

- A
- B
- C
- D
- E

**Q7: **

Let and . Is it true that is the inverse of and is the inverse of ?

- AYes
- BNo

**Q10: **

Determine the domain on which the function has an inverse.

- A
- B or
- C
- D
- E

**Q11: **

If is the inverse function of the function then which of the following statements is true?

- Arange of domain of
- Bdomain of range of
- Cdomain of domain of
- Drange of range of
- Edomain of range of

**Q12: **

Find the inverse of the function .

- A where
- B where
- C where
- D where
- E where

**Q13: **

Find the inverse of the function , where .

- A
- B
- C
- D
- E

**Q14: **

Find for and state the domain.

- A for
- B for
- C for
- D for

**Q15: **

Find for .

- A
- B
- C
- D

**Q17: **

The solid part of the following graph of shows how we can restrict the domain to obtain an inverse.

What is the domain of the inverse?

- A
- B
- C
- D
- E

What is the range of the inverse?

- A
- B
- C
- D
- E

Give a formula for the inverse.

- A
- B
- C
- D
- E

**Q20: **

The figure below represents the function . Find the value of .

**Q21: **

Does every function which is strictly increasing on its domain have an inverse function?

- ANo
- BYes

**Q22: **

Find the inverse of the function represented by the following table:

1 | 3 | |||

- A
- B
- C
- D
- E

**Q23: **

Does an odd function always have an inverse function?

- AYes
- BNo

**Q24: **

Given that is the inverse of the function , what is the value of ?

**Q25: **

Does an even function always have an inverse function?

- ANo
- BYes