Answer:
[tex]y = 2x - 12[/tex]
Step-by-step explanation:
We want to find the inverse of
[tex]y = \frac{1}{2}x + 6[/tex]
We interchange x and y.
[tex]x = \frac{1}{2}y + 6[/tex]
We need to solve for y, so let us multiply through by 2.
[tex]2x = y + 12[/tex]
Subtract 6 from both sides.
[tex]y = 2x - 12[/tex]
Therefore the required inverse is
[tex]y = 2x - 12[/tex]
