This question: $1$ point$($s$)$ possible

Given the function f and point a below, complete parts $($a$)-($c$).$

$f(x)=5x^2,x0,a=3$

a$.$ Find $f^{-1}(x).$

$f^{-1}(x)=$

b$.$ Graph $f$ and $f^{-1}$ together. Choose the correct graph below

A$.$ B$.$

c$.$

c$.$ Evaluate $\frac{df}{dx}$ at $x=$a and $\frac{d^{-1}}{dx}$ at $x=f(a)$ to show that $\frac{d{f}^{-1}}{dx}{|}_x|||)=a.$

$\frac{df}{dx}{|}_x||=3=$

$\frac{d{f}^{-1}}{dx}{|}_x||=f(3)=$

$$