Function Combinations
Let
f
and
g
be functions, then
Property
Equation
Sum
(f+g)(x) = f(x)+g(x)
Difference
(f-g)(x) = f(x)-g(x)
Product
(fg)(x) = f(x)g(x)
Quotient
(f/g)(x) = f(x)/g(x), g(x) does not equal 0
Composite
(g o f)(x) = g(f(x)) where f(x) must be in the domain of g
The Composite Function may be better understood by the figure below.
