Question

Find the inverse of y=1/2x+6

Answer 1

`y = 2x - 12`

Explanation:

We want to find the inverse of

`y = (1)/(2)x + 6`

We interchange x and y.

`x = (1)/(2)y + 6`

We need to solve for y, so let us multiply through by 2.

`2x = y + 12`

Subtract 6 from both sides.

`y = 2x - 12`

Therefore the required inverse is

`y = 2x - 12`