4-2

Im going to refresh our memory on what we learned thursday. We went back into the earlier chapters of the book this week and studied Chapter 4. We were taught to solve for f and g of (x) which we had previously been introduced to last year in Algebra II. It was pretty easy and came back to my memory pretty quick.

Composition- a function inside of another function.
Ex: (f o g) x

Formulas to remember are:
1.Sum- (f+g)(x)=f(x)+g(x)

2.Difference- (f-g)(x)=f(x)-g(x)

3.Product- (f*g)(x)=f(x)*g(x)

4.Quotient- (f/g)(x)=f(x)/g(x)

Plug in the given into the variables place in the equation. This process is pretty basic, being all you really are doing is plugging numbers and solving to simplest form.


Example:
(Difference) <-----Formula
(f-g)(x)=f(x)-g(x)

f(x)=4x-2 g(x)=6x-4
These are your givens, so simply take them and plug them into the right side of the formula.

(f-g)(x)=(4x-2) - (6x-4)
Answer- (-2x+6)