Inverse Functions (recap)

Inverse Functions (recap)

Multiple Choice

Find the inverse function $f\left(x\right)=\frac{5x+1}{3}$  

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

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

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

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

Multiple Choice

Find the inverse function $f\left(x\right)=\sqrt{5-4x}$  

•  $f^{-1}\left(x\right)=\frac{x^2+5}{4}$  

•  $f^{-1}\left(x\right)=\frac{x^2-5}{-4}$  

•  $f^{-1}\left(x\right)=25+16x$  

•  $f^{-1}\left(x\right)=x^2-\frac{5}{4}$  

Multiple Choice

 $f\left(x\right)=\frac{10+6x}{5}$   $g\left(x\right)=-2x+5$  Are these two functions inverses?

• yes,  $f\left(g\left(x\right)\right)\ =\ \frac{40-12x}{5}$  

•  no,   $f\left(g\left(x\right)\right)=x$  

• yes,  $f\left(g\left(x\right)\right)=x$  

• no,  $f\left(g\left(x\right)\right)=\frac{40-12x}{5}$  

Multiple Choice

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

Are these functions inverses?

• yes,  $f\left(g\left(x\right)\right)=x$  

• no, $f\left(g\left(x\right)\right)=x$ 

• yes,  $f\left(g\left(x\right)\right)=2x$  

•  $f\left(g\left(x\right)\right)\ =2x$  no,