Inverses

How do you verify a function is an inverse of another function?

Find the inverse of

 $f\left(x\right)=5x^2-7$  

•  $y=7x^2-5$  

•  $y=\pm\sqrt{\frac{\left(x+7\right)}{5}}$  

•  $y=\pm\sqrt{\frac{\left(x-7\right)}{5}}$  

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

Are the functions below inverses?

 $f\left(x\right)=5x+9$  
 $g\left(x\right)=5x-9$  

• Inverses

• Not Inverses

Are the functions below inverses?

 $f\left(x\right)=3x^2+4$  
 $g\left(x\right)=\pm\sqrt{\frac{\left(x-4\right)}{3}}$  

• Inverses

• Not Inverses