Question

If f(x) = x^3 +6 and g(x) =x^2 Find f(g(x) )

Answer 1

We have the next given equations:

`f(x)=x^3+6`

and

`g(x)=x^2`

We have to find f(g(x)), it means the function f(x) in terms of g(x).

Now, we replace g(x) when we have an x on the f(x) function.

Therefore:

`f(g(x))=(g(x))^3+6`
`f(g(x))=(x^2)^3+6`

Use the logarithm property:

`(x^n)^m=x^(n\cdot m)`

Finally, we got:

`f(g(x))=x^6+6`