Question

O GRAPHS AND FUNCTIONSExpressing a function as a composition of two functions

Answer 1

As a composite function can be written as:

`(f\circ g)(x)=f(g(x))`

which means that the function of g(x) will be replaced in all the x in present in f(x).

Then, one of the possibilities that this could happen is if:

`g(x)=6x^2-4`
`f(x)=\sqrt[3]{x}`

Because:

`(f\circ g)(x)=f(g(x))=\sqrt[3]{6x^2-4}`

Answer:

`g(x)=6x^2-4`
`f(x)=\sqrt[3]{x}`