Funtion Notation!

Hopee everyone had a good four day weekend :)

Have a good trip Brob, be safeee!

So this week one of the things we learned about was function notation:

(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


Example 1:
Let f(x)=x^2+x and g(x)=x+1. Find each of the following.
(f-g)(x)
(x^2+x)-(x+1)
x(x+1)-(x+1)

Example 2:
Let f(x)=x^2+x and g(x)=x+1. Find each of the following.
(f/g)(x)
x^2+x/x+1=x(x+1)/(x+1)
**The x+1's cancel, you are left with x
=x

Example 3:
Let f(x)=x^2+x and g(x)=x+1. Find each of the following.
(fog)(x)
(x+1)^2+x+1
x^2+2+x+1
x^2+x+3

----Daniellleeee