Question

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

Answer 1

`root(3)( x+2)`

Explanation:

Equate f(x) to some variable, say y. f(x)=y.

So,
`x^3-2=y`
`x^3=y+2`
x=`root(3)(y+2)`

Now swap in `x` for `y`. And f(x) inverse is= `root(3)(x+2)`

(Sorry if the formatting is wrong, I'm pretty new here but as the answer reads, f inverse of x is equal to cube root of x plus 2)