Question

Help with this question, it is one question with 3 parts.

Answer 1

The given function is ,

$f(x)=\frac{x+12}{x-6}$

The inverse of the function is ,

$\begin{gathered} y=\frac{x+12}{x-6} \\ x=\frac{y+12}{y-6} \\ y=\frac{6(x+2)}{x-1} \\ f^{-1}(x)=\frac{6x+12}{x-1} \end{gathered}$

for x ,

$x<1\text{ and x>1 .}$

if x= 1 the function will be undefined.

thus,

$x\ne1$