Question

What is the inverse of the function below? f(x) =-6x + 4

Answer 1

Hello !!

We need find the inverse of the function. See the resolution below.

$\mathsf{f(x)=-6x+4} \\\\\\ \mathsf{x=-6f(x)+4} \\\\\\ \mathsf{6f(x)=x+4} \\\\\\ \boxed{\mathsf{f^{-1}(x)=\dfrac{x+4}{6}}}$

Final result :

$\boxed{\bf\red{\mathsf{f^{-1}(x)=\dfrac{x+4}{6}}}}$

I hope I have collaborated !