Respuesta :

Hello.

Firstly, let's isolate x on the equation:

[tex]\mathsf{f(x) = 3x + 3} \\
\\
\mathsf{y = 3x + 3} \\
\\
\mathsf{-3x = -y + 3} \\
\\
\mathsf{x = \dfrac{-y + 3}{3}}[/tex]

Now, we can replace 'x' for 'y' and vice-versa:

[tex]\mathsf{f^{-1}(x) = \frac{-x + 3}{3}`}[/tex]

Hope I helped.