Question

How do you find the inverse of `y= -x` and is it a function?

Answer 1

See below.

Explanation:

For the inverse of a function we have to express `x` as a function of `y`:

`y=-x`

Multiply by `=1`

`x=-y`

Substitute:

`x=y`

`f^-1(x)=-x`

The function is its own inverse.

Since the inverse of a function is the reflection of the function in the line `y=x`, and `y=-x` is perpendicular to `y=x`, it is its own inverse.