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

$g(x)=\frac{7x+18}{2}$

Find out the inverse function

step 1

Let

y=g(x)

$y=\frac{7x+18}{2}$

step 2

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

$x=\frac{7y+18}{2}$

step 3

Isolate the variable y

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