Inverse Functions Practice

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

(a)  

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

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

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

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

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

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

•  $f^{-1}\left(x\right)=x^2+2$  

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

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

(a)  

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

•  $x\ge7$  

•  $x\le7$  

•  $x>7$  

•  $x<7$  

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

•  $y>0$  

•  $y\ge0$  

•  $y\le0$  

•  $y<0$  

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

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

•  $f^{-1}\left(x\right)=x^2+7$  

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

•  $f^{-1}\left(x\right)=x^2-7$  

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

(a)  

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

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

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

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

•  $g^{-1}\left(x\right)=\frac{4}{3}x-12$  

What is the inverse of the function graphed above?

• 
• 
• 
•