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Inverse of functions

Total questions: 15

Worksheet time: 18mins

Name
Class
Date
1.

A function is an equation that shows the (a)   between 2 or more letters.

2.

In Algebra, letters are used to represent numbers. These letters can also be called (a)  

3.

When given an equation, the letter that stands on its own is called the (a)   of the formula.

4.

An inverse function is a function that does the (a)   of the original function.

5.

Find the inverse of the function  f(x)=x+7f\left(x\right)=x+7  

a)

 f1(x)=x7f^{-1}\left(x\right)=x-7  

b)

 f1(x)=x+7f^{-1}\left(x\right)=x+7  

c)

 f1(x)=7xf^{-1}\left(x\right)=7x  

d)

 f1(x)=7xf^{-1}\left(x\right)=\frac{7}{x}  

6.

Find the inverse of the function  f(x)=x4f\left(x\right)=\frac{x}{4}  

a)

 x4x-4  

b)

 x+4x+4  

c)

 4x4x  

d)

 44  

7.

What is the inverse of the function below? f(x)=3x2f\left(x\right)=3x-2  

a)

 3x23x-2  

b)

 2x32x-3  

c)

 x+23\frac{x+2}{3}  

d)

 x+32\frac{x+3}{2}  

8.

What is the inverse of the function  x+33\frac{x+3}{3}  

a)

 9x9x  

b)

 3x33x-3  

c)

 x+1x+1  

d)

 3x+33x+3  

9.

Find the inverse

 f(x)=3x+5f\left(x\right)=3x+5  

a)

 5x35x-3  

b)

 x53\frac{x-5}{3}  

c)

 x35\frac{x-3}{5}  

d)

 3x53x-5  

10.

Find the inverse of  f(x)=2x+34f\left(x\right)=\frac{2x+3}{4}  

a)

 4x32\frac{4x-3}{2}  

b)

 42x+3\frac{4}{2x+3}  

c)

 2x34\frac{2x-3}{-4}  

d)

 4x+32\frac{4x+3}{2}  

11.

Find the inverse f(x)=4x63f\left(x\right)=\frac{4x-6}{3}  

a)

 3x64\frac{3x-6}{4}  

b)

 3x+64\frac{3x+6}{4}  

c)

 4x+63\frac{4x+6}{-3}  

d)

 6x43\frac{6x-4}{3}  

12.

Find the inverse for  f(x)=12x2f\left(x\right)=\frac{1}{2}x-2  

a)

 212x2-\frac{1}{2}x  

b)

 2x22x-2  

c)

 12x+2\frac{1}{2}x+2  

d)

 2x+22x+2  

13.

Find the inverse f(x)=14x+5f\left(x\right)=\frac{1}{4}x+5  

a)

 514x-5-\frac{1}{4}x  

b)

 4x+54x+5  

c)

 4x204x-20  

d)

 54x5-4x  

14.

What is the inverse for the function  f(x)=xf\left(x\right)=\sqrt{x}  ?

a)

 x2\frac{x}{2}  

b)

 x2x^2  

c)

 2x2x  

d)

 x-x  

15.

Find the inverse for  f(x)=x21f\left(x\right)=x^2-1  

a)

 x+1-x+1  

b)

 2x+12x+1  

c)

 x+1\sqrt{x}+1  

d)

 x+1\sqrt{x+1}