4-2

This week in advanced math we are learning how to do solve for f and g of (x). I think that this section is very confusing along with section 4-1. Anyways I am going to do my best to explain this to you.

Composition Functions- A composition function is a function inside of another function.
Example: (fog)(x)=f(g(x))-> Write g(x) inside of x. And vise verse for g of f of x.

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)

***REMEMBER THIS: f(x) is the notation when you use f(5) or f(y) 0r f(i^2). The notation means to plug what is in parenthesis into the equation instead of x.

EXAMPLE:
f(x)=6x+1 g(x)=3+x
(f+g)(x)=(6x+1)+(3+x)
Answer: 7x+4

This is the easiest way that I can teach you how to do this. It is just plugging into formulas.
Thanks and have a GREAT day. :)