PC S5.2 Extra Practice: Inverses

Find the inverse g(x) for the following function:

 $f\left(x\right)=-\frac{7}{2}x-3$  

•  $g\left(x\right)=\frac{\left(3x+7\right)}{2}$  

•  $g\left(x\right)=\frac{\left(2x-6\right)}{7}$  

•  $g\left(x\right)=\frac{\left(2x+6\right)}{7}$  

•  $g\left(x\right)=-\frac{\left(2x+6\right)}{7}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse g(x) for the following function:

 $f\left(x\right)=x^3+5$  

•  $g\left(x\right)=x^{\frac{1}{3}}+5$  

•  $g\left(x\right)=x^{\frac{1}{3}}-5$  

•  $g\left(x\right)=\left(x-5\right)^{\frac{1}{3}}$  

•  $g\left(x\right)=\left(x+5\right)^{\frac{1}{3}}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse g(x) for the following function:

 $f\left(x\right)=5\left(x+2\right)^7$  

•  $g\left(x\right)=\left(\frac{x}{5}-2\right)^{\frac{1}{7}}$  

•  $g\left(x\right)=\left(5x\right)^{\frac{1}{7}}-2$  

•  $g\left(x\right)=\left(\frac{x}{5}\right)^{\frac{1}{7}}-2$  

•  $g\left(x\right)=\left(\frac{x}{5}+2\right)^{\frac{1}{7}}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse g(x) of the following function (assume x<0):

 $f\left(x\right)=-\sqrt{x-8}$  

•  $g\left(x\right)=8+x^2$  

•  $g\left(x\right)=8-x^2$  

•  $g\left(x\right)=\left(x+8\right)^2$  

•  $g\left(x\right)=-\left(x+8\right)^2$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse g(x) of the following function f(x):

 $f\left(x\right)=\sqrt{16-x^2}$  , 0 < x < 4.

•  $g\left(x\right)=4-x$  

•  $g\left(x\right)=\sqrt{x^2-16}$  

•  $g\left(x\right)=\sqrt{16-x^2}$  

•  $g\left(x\right)=4+x$  

Tags

CCSS.HSF-BF.B.4D

Find the inverse for the following function:

 $f\left(x\right)=2x-3$  

•  $f^{-1}\left(x\right)=\frac{\left(x+3\right)}{2}$  

•  $f^{-1}\left(x\right)=\frac{\left(x-3\right)}{2}$  

•  $f^{-1}\left(x\right)=2\left(x+3\right)$  

•  $f^{-1}\left(x\right)=2\left(x-3\right)$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse for the following function:

 $f\left(x\right)=x^5$  

•  $f^{-1}\left(x\right)=x^{\frac{1}{5}}$  

•  $f^{-1}\left(x\right)=\frac{1}{5}x^5$  

•  $f^{-1}\left(x\right)=\frac{x}{5}$  

•  $f^{-1}\left(x\right)=x$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse for the following function:

 $f\left(x\right)=\frac{4}{x}$  

•  $f^{-1}\left(x\right)=x$  

•  $f^{-1}\left(x\right)=\frac{x}{4}$  

•  $f^{-1}\left(x\right)=4x$  

•  $f^{-1}\left(x\right)=\frac{4}{x}$  

Tags

CCSS.HSF-BF.B.4A

Suppose the point (1, 4) is on a function f(x). Which point do we know is on the inverse function?

• (1, -4)

• (-1, 4)

• (-1, -4)

• (4, 1)

Tags

CCSS.HSF-BF.B.4C

Suppose the point (-3, 7) is on a function f(x). Which point do we know is on the inverse function?

• (7, -3)

• (3, -7)

• (-3, -7)

• (3, -7)

Tags

CCSS.HSF-BF.B.4C