Question

How do you find the inverse of `y=1-6x^3-3` and is it a function?

Answer 1

The inverse of a function can be found by switching the x and y values inside a function.

Explanation:

`x = -2 - 6y^3`

`x + 2 = -6y^3`

`-1/6x - 1/3 = y^3`

`root(3)(-1/6x - 1/3) = y`

So, `f^-1(x) = root(3)(-1/6x - 1/3)`

Hopefully this helps!