Answer:
B. \(y=\frac{x+6}{2}\)
Step-by-step explanation:
We have been given an equation \(y=2x-6\). We are asked to find the inverse of our given equation.
To find inverse of our given equation, we will interchange x and y variables and solve for y as shown below:
\(x=2y-6\)
Switch sides:
\(2y-6=x\)
Add 6 on both sides:
\(2y-6+6=x+6\)
\(2y=x+6\)
Divide both sides by 2:
\(\frac{2y}{2}=\frac{x+6}{2}\)
\(y=\frac{x+6}{2}\)
Therefore, the inverse of our given equation would be \(y=\frac{x+6}{2}\) and option B is the correct choice.
