Inverse Functions

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Find the inverse of $g\left(x\right)=\ 2x\ -\ 3$  

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

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

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

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

Find the inverse of the function $f\left(x\right)=x-9$  

•  $f^{-1}\left(x\right)\ =\ -x-9$  

•  $f^{-1}\left(x\right)\ =\ x+9$  

•  $f^{-1}\left(x\right)\ =\ x-9$  

•  $f^{-1}\left(x\right)\ =\ \frac{x}{9}$  

Find the inverse of the function $f\left(x\right)=\sqrt{x\ +\ 3}$  

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

•  $f^{-1}\left(x\right)\ =\ x^2-3$  

•  $f^{-1}\left(x\right)\ =\ x^2+3$  

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

Find the inverse of the function $f\left(x\right)=2x-5$  

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

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

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

•  $f^{-1}\left(x\right)\ =\ 2x-5$  

Find the inverse of the function $f\left(x\right)=\sqrt{2x-5}$  

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

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

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

•  $f^{-1}\left(x\right)\ =\ 2x+5$