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:

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