Question

How do you find the inverse of `f(x)=3sqrt(x+2)`?

Answer 1

`x=y^2/9-2`

Explanation:

Since `f(x)=y`, you need to isolate `x` and express it in terms of `y`, while now you have written `y` in terms of `x`. So, here are the steps:

`y=3sqrt(x+2)`

`y/3 = sqrt(x+2)` (divided both members by `3`)

`y^2/9 = x+2` (squared both members)

`y^2/9-2 = x` (subtracted `2` from both terms)

And here we go!