Question

what is the function inverse of f(x)= 3 (squareroot of x)

Answer 1

\[y=3\sqrt{x}\] switch \(x\) and \(y\)
\[x=3\sqrt{y}\] solve for \(y\)
\[\frac{x}{3}=\sqrt{y}\]
\[\left( \frac{x}{3}\right)^2=y\]
\[f^{-1}(x)=\frac{x^2}{9}\]

Answer 2

unless of course you meant
\[y=\sqrt[3]{x}\] which is a whole different story

Answer 3

thank you ! and nope thats correct

Answer 4

yw