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

1 Answer
Feb 27, 2018

(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