Question

Find the inverse of the function. g(x)= -5x – 20/7

Answer 1

Answer:$g^{-1}(x)=\frac{-7x-20}{5}$

Explanation:

Given the function:

$g(x)=\frac{-5x-20}{7}$

To find the inverse function, let us first write it as:

$y=\frac{-5x-20}{7}$

Make x the subject of the equation

$\begin{gathered} -5x-20=7y \\ -5x=7y+20 \\ x=\frac{-7y-20}{5} \end{gathered}$

Replace x by y, and y by x to obtain the inverse function

$y=\frac{-7x-20}{5}$

Where

$y=g^{-1}(x)$