Operations of functions

Operations of functions - The following show us how to...

This preview shows pages 1–6. Sign up to view the full content.

The following show us how to perform the different operations on functions.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Use the functions and to illustrate the operations: Sum of f + g (f + g)(x) = f(x) + g(x) This is a very straight forward process. When you want the sum of your functions you simply add the two functions together. Example 1 : If and then find (f + g)(x) *Add the 2 functions *Combine like terms Difference of f - g (f - g)(x) = f(x) - g(x) Another straight forward idea, when you want the difference of your functions you
simply take the first function minus the second function. Example 2 : If and then find (f - g)(x) and (f - g) (5) *Take the difference of the 2 functions *Subtract EVERY term of the 2nd ( ) *Plug 5 in for x in the diff. of the 2 functions found above Since the difference function had already been found, we didn't have to take the difference of the two functions again. We could just merely plug in 5 into the already found difference function. Product of f g (f g)(x) = f(x)g(x) Along the same idea as adding and subtracting, when you want to find the product of your functions you multiply the functions together.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example 3 : If and then find (fg)(x) *Take the product of the 2 functions *FOIL method to multiply Quotient of f/ g (f /g)(x) = f(x)/g(x) Well, we don't want to leave division of functions out of the loop. It stands to reason that when you want to find the quotient of your functions you divide the functions. Example 4 : If and then find (f/g)(x) and (f/g)(1)
*Use the quotient found above to plug 1 in for x Composite Function Be careful, when you have a composite function, one function is inside of the other. It is not the same as taking the product of those functions.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/18/2011 for the course MATH 101 taught by Professor Kindle during the Spring '11 term at South Texas College.

Page1 / 18

Operations of functions - The following show us how to...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online