Question

Given that f(x) = 6(x - 1). Choose the correct statement.

Answer 1

Given:-

$f(x)=6(x-1)$

To find:-

$f^{-1}(12)$

So now,

$\begin{gathered} y=6(x-1) \\ y=6x-6 \\ y+6=6x \\ x=\frac{y+6}{6} \end{gathered}$

So now,

$f^{-1}(12)=\frac{12+6}{6}=\frac{18}{6}=3$

So the correct option is option c.