Question

What is the inverse of f(x)=3x+6 ?

Answer 1

Answer:

$\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }$

Step-by-step explanation:

hello,

we can write

$fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\<=>3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\<=> f^{-1}(x)=\dfrac{x-6}{3}$

hope this helps