Composite Functions :
Composite Functions We say that the function f(g(x)) , read “f of g of x”, is the composite function of g and f. It is made by composing g and f in the order of first g, then f.
Notation: (f ◦ g)(x) or f(g(x))
Example:
Find f(g(2)) for g(x) = x2 and f(x) = x-7.
Start with the inner most parenthesis. so g(2) = 22 = 4, then you do f(4) which is f(4) = 4-7=-3.
Therefore f(g(2)) = -3