Respuesta :

Given

[tex]f(y)=3y^2-2[/tex]

Find

Equation for the inverse

Explanation

Let f(y)= x

so ,.

[tex]x=3y^2-2[/tex]

solve for y in terms of x.

[tex]\begin{gathered} x=3y^2-2 \\ x+2=3y^2 \\ \frac{x+2}{3}=x^2 \\ \sqrt{\frac{x+2}{3}}=x \end{gathered}[/tex]