Question

Find the inverse of the function.

Answer 1

\[f(x)=\sqrt[3]{x/6}-7\]

Answer 2

Switch x and y.

Answer 3

what do you mean?

Answer 4

isn't y f(x)

Answer 5

Solve for y again
\[\Large x=\sqrt{\frac{y}{6}}-7\]

Answer 6

And whatever power is at the index.

Answer 7

so how do i solve for y?

Answer 8

\[\Large \color{green}{ლ(ﾟдﾟლ) }\]

Answer 9

Start by getting it by itself.

Answer 10

no ._.

Answer 11

@jim_thompson5910

Answer 12

Actually, after swapping \(x\) and \(y\) , you have

\(\ x=\sqrt[3]{\dfrac{y}{6}}-7\)

Adding 7 to both sides, then afterwards cubing both sides, you'll have the inverse of \(f(x)\)

Answer 13

f^-1(x) = 6(x+7)^3

Does this look right?

Answer 14

thanks hero!

Answer 15

yw