Function Notation

Typically, these problems are given in the two forms of f(x) and g(x) equations. These problems are really easy to solve. The hardest part is remembering which equation to use.

Rules:
(f + g) (x) - add equations
(f - g) (x) - subtract equations.
(f * g) (x) - multiply equations.
(f / g) (x) - divide equations.
(f o g) (x) - replace all x's in the f(x) equation with the equation g(x)
if there is a number then you use the number instead of x

Example: f(x) = x^2 + 2x and g(x) = x+4
(f+g) (x) <-----------------------------Determine which equation you are going to use
(x^2 + 2x) + (x+4) <------------------- Plug in the f(x) and g(x) equations into it

x^2 + 3x + 4 <------------------------- Add as follows
(x + 4) (x - 1)<------------------------- Factor for your final answers