WOOOOAhhhhh

FUNCTIONS:

if you have the formula (f + g)(x) it means to add the equations

if you have the formula (f – g)(x) it means to subtract the equations

if you have the formula (f ●g)(x) it means to multiply the equations

if you have the formula (f/g)(x) it means to divide the equations

(f ᵒ g)(x) Or f(g(x)) means to replace all x’s in the f(x) equation with the equation g(x)-fog

You should factor your final answer. If x is replaced with a number, plug it into the equation.

Example

Determine if f(x)= 2x^3 - 3x^2 - 4x - 4 is even, odd, or neither

1) I'll plug in (-x) in for x, and simplify

2) f(-x)= 2(-x)^3 - 3(-x)^2 - 4(-x) - 4

= -2x^3 - 3x^2 + 4x + 4

3) This is neither what I started with, nor the exact opposite of what I started with

4) The answer is neither