Question

Let g(x)=7x+18÷2. Find the inverse of g. Be sure to write your answer using inverse notation.

Answer 1

we have the function

`g(x)=(7x+18)/(2)`

Find out the inverse function

step 1

Let

y=g(x)

`y=(7x+18)/(2)`

step 2

Exchange the variables (x for y and y for x)

`x=(7y+18)/(2)`

step 3

Isolate the variable y

`\begin{gathered} x=(7y+18)/(2) \\ \\ 7y=2x-18 \\ \\ y=(2x-18)/(7) \\ \\ therefore \\ The\text{ inverse function is } \\ g^(-1)(x)=(2x-18)/(7) \end{gathered}`