Question

Determine f^-1(x) for f(x)= 3 times the square root of x-3.

Answer 1

\[3\sqrt{x-3}\]
correct?

Answer 2

yes! sorry, I didn't know how to do that.

Answer 3

You can click the equation button below the chat box thingy xD
But alright, so if you need f inverse, then you need to switch x and y in your equation and then resolve for y. So basically you have:
\[y = 3\sqrt{x-3}\] which becomes
\[x = 3\sqrt{y-3}\]
Do you know how to solve for y from here?

Answer 4

I was pretty sure I did. I thought that since it's a cube root, you raise the whole function to the power of 3 to get rid of the cube root so it'd be x=(y-3)^3


right?