Question

Whats is 6(x)=2x-10 its a inverse function

Answer 1

`G(x)^(-1)=(x+10)/(2)`

Step-by-step explanation:

The function we have is:

`G\left(x\right)=2x-10`

To find the inverse function, we have to solve for x.

Step 1: add +10 to each side of the equation

`\begin{gathered} G(x)+10=2x-10+10 \\ G(x)+10=2x \end{gathered}`

Step 2: Divide both sides of the equation by 2

`(G(x)+10)/(2)=x`

Step 3: Change G(x) for x, and x for G(x)^-1:

`(x+10)/(2)=G(x)^(-1)`

This is the inverse function.