Function Notation!

The formulas:

~(f+g)(x)--> add equations
~(f-g)(x)--> subtract equations
~(f*g)(x)--> multiply equations
~(f/g)(x)--> divide
~(fog)(x) or f(g(x))--> replace all x's in the f(x) equation with the equation g(x)
--If x is replaced with a number plug into the equation.

Ex1. If f(x)=x+1 and g(x)=x^2-1 Find the rule for (f+g)(x):

(x+1)+(x^2-1)= x(x+1)

Ex2. If f(x)= 1/x and g(x)=x+1 find (f o g)(x)or f(g(x)):

f(g(x))= 1/x+1

Ex3. If f(x)=x+1 and g(x)=x^2-1 find (f/g)(x):

x+1/x^2-1= 1/x-1