Question

What is the inverse function of `y=2-x`?

Answer 1

`y=2-x`

Explanation:

How to find an inverse function:
Flip the position of `x` and `y`.
Solve the equation in terms of `y`.

If we start with `y=2-x`, we must first flip `x` and `y`.

This gives us:

`x=2-y`

Then, we have to solve for `y`.

Subtract `2` from both sides:

`x-2=-y`

Multiply both sides by `-1`.

`y=-x+2`

This is the inverse function of `y=2-x`.

(Fun fact: this function's inverse is itself! In linear functions, this happens when there's a slope of `-1`.)