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=(x+12)/(9) \\ \\ y=\sqrt[]{(x+12)/(9)} \\ \\ y=\frac{\sqrt[]{x+12}}{3} \end{gathered}`

so the option is D