Question

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

Answer 1

Answer:

$G(x)^{-1}=\frac{x+10}{2}$

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

$\frac{G(x)+10}{2}=x$

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

$\frac{x+10}{2}=G(x)^{-1}$

This is the inverse function.