Question

Question #88d24

Answer 1

To find the inverse of functions, we switch `x` and `y` and solve for `y`:

`f(x) = x-3`

`y = x-3`

switch `x` and `y`

`x = y-3`

solve for `y`

`y = x+3`

rewrite in "proper" form

`f^(-1)(x) = x+3`

`* * * * * * * * * * * * * * * * * * * * * * * * *`

`g(x) = -2x+8`

`y = -2x+8`

switch `x` and `y`

`x = -2y+8`

solve for `y`

`x-8 = -2y`

`-(x-8)/2 = y`

rewrite in "proper" form

`g^(-1)(x) = -(x-8)/2`