Question

Find f^-1(x)
f(x) 3 square-root of x-3

Answer 1

\(f(x) = 3\sqrt{x-3}\) ?

Answer 2

Or \(\sqrt[3]{x-3}\)?

Answer 3

the second one

Answer 4

Switch x and y to each other then isolate y. Like this: \[x = \sqrt[3]{y-3}\]Now cube both sides.\[x^3 = y-3\]\[\Large y = f^{-1}(x) = \boxed{x^3 + 3}\]

Answer 5

Thank you.

Answer 6

You're welcome.