Question

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

Answer 1

Answer:
`g^(-1)(x)=(-7x-20)/(5)`

Step-by-step explanation:

Given the function:

`g(x)=(-5x-20)/(7)`

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

`y=(-5x-20)/(7)`

Make x the subject of the equation

`\begin{gathered} -5x-20=7y \\ -5x=7y+20 \\ x=(-7y-20)/(5) \end{gathered}`

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

`y=(-7x-20)/(5)`

Where

`y=g^(-1)(x)`