Question

How do you find the inverse of `g(x) = -2x − 7`?

Answer 1

Switch `x` and `y`s.

`x= -2y - 7`

`x + 7 = -2y`

`y = -1/2x - 7/2`

Thus `g^-1(x) = -1/2x - 7/2`. We can confirm that this is indeed a reflection over the line `y = x` by graphing.

Hopefully this helps!