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When a function is said to be as composite function

Let g be a function from a set A to a set B, and let f be a function from B to a set C . Then the composition of functions f and g, denoted by fg, is the function from A to C that satisfies

fg(x) = f( g(x) ) for all x in A .

Example: Let f(x) = x2 , and g(x) = x + 1 . Then f( g(x) ) = ( x + 1 )2 .