Question

if the domain of the function,f, is restricted to x≥0, which function is the inverse of f? the function is f(x)=9x^2-12,x≥0. A. p(x)=√z-12/9 B. q(x)=√x+12/9. C. h(x)=√x-12/3. D. g(x)=√x+12/3

Answer 1

$f(x)=9x^2-12$

to find the inverse function...

$y=9x^2-12$

change y for x and x for y

$x=9y^2-12$

and solve y

$\begin{gathered} 9y^2=x+12 \\ y^2=\frac{x+12}{9} \\ \\ y=\sqrt[]{\frac{x+12}{9}} \\ \\ y=\frac{\sqrt[]{x+12}}{3} \end{gathered}$

so the option is D