Question

How do you find the inverse of `y = (-1/2)x + 7`?

Answer 1

`y^-1=2x-14`

Explanation:

To find the inverse of an equation, we switch `x` and `y`:
`x=(-1/2)y+7`

And solve for `y`:
`xcolor(white)(0000)=(-1/2)y+7`
`ul(color(white)(00)-7color(white)(=(-1/2))-7`
`x-7=(-1/2)y`
`ul(xx2color(white)(=()yyyy)xx2`
`2(x-7)=y`

`y=2x-14`

To write that this equation is the inverse of the original one, we write the expression as `y^-1=2x-14`