Question

If f(x) = x2 and g(x) = x + 5, what is f(g(x))?

Answer 1

$f(x)=x^2;\text{ g(x)=x+5}$

To obtain f(g(x)), we have;

$\begin{gathered} f(g(x))=f(x+5) \\ since\text{ f(x)}=x^2,\text{ then f(x+5) will become;} \\ f(x+5)=(x+5)^2 \\ f(\times+5)=(x+5)(x+5) \\ f(x+5)=x^2+10x+25 \end{gathered}$

Hence, the composite function f(g(x)) is

$x^2+10x+25$