Respuesta :

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{6}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 6x + 3 ( subtract 3 from both sides )

y - 3 = 6x ( divide both sides by 6 )

[tex]\frac{y-3}{6}[/tex] = x

change y back into terms of x, thus

[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{6}[/tex]