Question

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Answer 1

So have you tried pluggin in as directed?

Answer 2

plug g into f
and also plug f into g?

Answer 3

\[f(g(x))=f(\sqrt[3]{x-4}) \text{ means you will replace the x \in f with } \sqrt[3]{x-4}\]

Answer 4

Try replacing the x with the cuberoot(x-4) in f
and simplify

Answer 5

simplify that the cube and cube root cancel

Answer 6

\[f(g(x))=f(\sqrt[3]{x-4})=(\sqrt[3]{x-4})^3+4\]

Answer 7

Try simplifying f(g(x)) that I wrote above
You should be confirming the results above
that we will get x

Answer 8

then we will also have to do g(f(x))

Answer 9

is that it after that?

Answer 10

Yep you are just to confirm that f(g(x))=x and g(f(x))=x
You must simplify both f(g(x)) and g(f(x)) and show they are both just equal to x.

Answer 11

no no weneed to find their inverse and thn equate their inverse

Answer 12

They only want us to confirm that f and g are inverses