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