Function Composition

• (f o g) (x) is NOT EQUAL to (g o f) (x)
• (f o g) (x) is NOT EQUAL to (g o f) (x)
• f(g(x)) - It is read as: f composed with g of x or f of g of x
• f(g(x)) - It is read as: f composed with g of x or f of g of x
• The codomain of f must be a subset of the domain of g for the composition to be defined.
• The codomain of f must be a subset of the domain of g for the composition to be defined.
• Let f: A → B and g: B → C are two functions. The composition of f and g, denoted by (f o g)(x) = f(g(x)), then g function is inside of the f function.
• Let f: A → B and g: B → C are two functions. The composition of f and g, denoted by (f o g)(x) = f(g(x)), then g function is inside of the f function.