Question

find the inverse of (x)=2^3√(x+2)

Answer 1

To find the inverse, consider:
\[y = 2^{3\sqrt{x+2}}\]
now find x in terms of y to get the inverse.

Answer 2

Is that a square root?

If so, then the function is not one-to-one and thus does not have an inverse.

Answer 3

To start with, do you know the way of finding the inverse for a function?

Answer 4

You can use logarithm to simplify.

\(\qquad\log_2y = 3\sqrt{x+2}\)

Solve for \(x\) and swap the variables.

Answer 5

if you solve for x there, you will not get a function

Answer 6

I think it is maybe \(2^{\sqrt[3]{x+2}}\)