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

1 Answer

6 votes

Given


f(y)=3y^2-2

Find

Equation for the inverse

Step-by-step 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 \\ (x+2)/(3)=x^2 \\ \sqrt{(x+2)/(3)}=x \end{gathered}

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