Respuesta :

Given:-

[tex]f(x)=6(x-1)[/tex]

To find:-

[tex]f^{-1}(12)[/tex]

So now,

[tex]\begin{gathered} y=6(x-1) \\ y=6x-6 \\ y+6=6x \\ x=\frac{y+6}{6} \end{gathered}[/tex]

So now,

[tex]f^{-1}(12)=\frac{12+6}{6}=\frac{18}{6}=3[/tex]

So the correct option is option c.

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