Answer:
B. [tex]y=\frac{x+6}{2}[/tex]
Step-by-step explanation:
We have been given an equation [tex]y=2x-6[/tex]. 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:
[tex]x=2y-6[/tex]
Switch sides:
[tex]2y-6=x[/tex]
Add 6 on both sides:
[tex]2y-6+6=x+6[/tex]
[tex]2y=x+6[/tex]
Divide both sides by 2:
[tex]\frac{2y}{2}=\frac{x+6}{2}[/tex]
[tex]y=\frac{x+6}{2}[/tex]
Therefore, the inverse of our given equation would be [tex]y=\frac{x+6}{2}[/tex] and option B is the correct choice.
