Question

Let f(x)=`x^2` and g(x)=x+6, find: (f ∘ g) (x)?

Answer 1

`(f@g)(x)=x^2+12x+36`

Explanation:

In this function composition, `(f@g)(x)` indicates we are to put the `g` function into the `f` function as an input. Therefore, we are really looking for:

`f(color(red)g(x))=(color(red)g(x))^2`

Substituting, we get

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

And finally expanding, our final answer is

`(f@g)(x)=x^2+12x+36`