Question

f(y)=3y^2-2Write a equation for the inverse above

Answer 1

Given

$f(y)=3y^2-2$

Find

Equation for the inverse

Explanation

Let f(y)= x

so ,.

$x=3y^2-2$

solve for y in terms of x.

$\begin{gathered} x=3y^2-2 \\ x+2=3y^2 \\ \frac{x+2}{3}=x^2 \\ \sqrt{\frac{x+2}{3}}=x \end{gathered}$