Question

If f(x)=sqrt(3x+2) what is the equation for f–1(x)?

Answer 1

\(\bf f(x)={\color{red}{y}}=\sqrt{3{\color{blue}{ x}}+2}\qquad inverse\implies {\color{blue}{ x}}=\sqrt{3{\color{red}{y}}+2}\)

solve for "y"

notice that to find the inverse "relation", we simply swap about the variables