Question

Help very confused!!!
Will post problem

Answer 1

\(\Huge\color{blue}{.-.}\)

Answer 2

\[f(x)=^{3}\sqrt{x-2}\] Find inverse function

Answer 3

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 4

\[x ^{3}= y-2\]

Answer 5

what i got down to

Answer 6

Well lets do it step by step
\[y = \sqrt[3]{x-2} \implies x = \sqrt[3]{y-2} \implies x^3 = y-2\] so you're at this part, now use the opposite operation of -2 to both sides so we can isolate y.

Answer 7

\[x ^{3} +2=y\]

Answer 8

There you go!

Answer 9

Now replace y with \[f^{-1}(x)\]

Answer 10

That represents inverse :)

Answer 11

\[f ^{-1} (x)\]

Answer 12

one side

Answer 13

Yup! So \[f^{-1}(x) = x^3+2\]

Answer 14

Pretty simple right? :)

Answer 15

yeah i think i understand now.

Answer 16

thank you very much

Answer 17

Np, take care!