4-2

This week we learn Chapter 4 stuff. In section 4-2 we learn operations on function better known as notation. We have been taught this section from algebra 2 last year. You have to solve for F(x) and G(x). It took me awhile to realize it but it pretty much easy.

A composition function is a function inside of another function. A example of this is F(x).

These are the formulas:

Sum- (f+g)(x)=f(x)+g(x)
Difference- (f-g)(x)=f(x)-g(x)
Product- (f*g)(x)=f(x)*g(x)
Quotient- (f/g)(x)=f(x)/g(x)


The notation is f(x) when f(5) or f(x) or f(i^2) the notation means to plug what is in the parenthesis into the equation instead of x.


Example:
F(X)=3x+1 G(x)=2-x

(f+g)(x)(3x+1)+(-2+x)
4x-1 is the answer.

A example of a composition function is (fog)(x)=f(g(x))-> Write g(x) inside of x. And vise verse for g of f of x.

Basically if you know your formulas and everything this section will be a breeze for you.