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Inverse Functions Practice

Total questions: 10

Worksheet time: 46mins

Name
Class
Date
1.

What is the inverse of  y =14x+3y\ =\frac{1}{4}x+3  

(a)  

2.

What is the inverse of  f(x)=x25f\left(x\right)=x^2-5  ?

a)

 f1(x)=±x+5f^{-1}\left(x\right)=\pm\sqrt{x+5}  

b)

 f1(x)=±x+5f^{-1}\left(x\right)=\pm\sqrt{x}+5  

c)

 f1(x)=±x5f^{-1}\left(x\right)=\pm\sqrt{x}-5  

d)

 f1(x)=±x5f^{-1}\left(x\right)=\pm\sqrt{x-5}  

3.

What is the inverse of  f(x)=x2f\left(x\right)=\sqrt{x}-2  ?

a)

 f1(x)=x2+2f^{-1}\left(x\right)=x^2+2  

b)

 f1(x)=(x+2)2f^{-1}\left(x\right)=\left(x+2\right)^2  

4.

What is the inverse of the ordered pair (-2,5)?

(a)  

5.

What is the domain of  f(x)=x7f\left(x\right)=\sqrt{x-7}  ?

a)

 x7x\ge7  

b)

 x7x\le7  

c)

 x>7x>7  

d)

 x<7x<7  

6.

What is the range of  f(x)=x7f\left(x\right)=\sqrt{x-7}  ?

a)

 y>0y>0  

b)

 y0y\ge0  

c)

 y0y\le0  

d)

 y<0y<0  

7.

What is the inverse of  f(x)=x7f\left(x\right)=\sqrt{x-7}  ?

a)

 f1(x)=(x+7)2f^{-1}\left(x\right)=\left(x+7\right)^2  

b)

 f1(x)=x2+7f^{-1}\left(x\right)=x^2+7  

c)

 f1(x)=(x7)2f^{-1}\left(x\right)=\left(x-7\right)^2  

d)

 f1(x)=x27f^{-1}\left(x\right)=x^2-7  

8.

 y = 12x6y\ =\ \frac{1}{2}x-6  What is the inverse of

(a)  

9.

What is the inverse of  g(x)=34x9g\left(x\right)=\frac{3}{4}x-9  ?

a)

 g1(x)=43x+9g^{-1}\left(x\right)=\frac{4}{3}x+9  

b)

 g1(x)=34x++12g^{-1}\left(x\right)=\frac{3}{4}x++12  

c)

 g1(x)=43x+12g^{-1}\left(x\right)=\frac{4}{3}x+12  

d)

 g1(x)=43x12g^{-1}\left(x\right)=\frac{4}{3}x-12  

10.

What is the inverse of the function graphed above?

a)
b)
c)
d)