4-2 Notation

This past week we have taken a semi-break from the trig in our book. We actually went back to chapter four where we began finding the Domain and Range in section one. We also learned in section two about Notation. Section two deals with notation and functions.

Rules:

Sum of f,g (f+g)x= f(x)+g(x)

Differemce of f,g (f-g)= f(x)-g(x)

Product f,g (fxg)=f(x)xg(x)

Quotient f,g (f/g)x= f(x)/g(x)

 

One of the important kinds of functions that we learned about were the composition functions. A composition function is simply a function inside of another function. A function can be stated as f(x) of as "f of x" with a given equation you simply plug in.

Ex. Difference of a function

 

F(x)=2x+2 g(x)=4x

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

 

Ex. Composition Function

(f·g)(x)=f(g(x)) this is stated as f of g of x..

= f(4x)

= 2(4x)+2

= 8x+2

That is the final answer. 8x+2

This section is relatively simple. The hardest thing that you will probally have to do is solve. Other than that, all you are doing is plugging in functions.

:)