Pre-Calculus A 3rd Hour, Fall 2012: Arithmetic Combinations of Functions

Tuesday, September 25, 2012

Arithmetic Combinations of Functions

Arithmetic Combinations of Functions, Composition of Functions

There are 5 types of arithmetic combinations of functions but we have only been taught 4 as of now. The 4 are sum, difference, product, and quotient.

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

Ex:
$f(x)=x+3$ $g(x)=x^2+x$

      $x^2 + 2x +3$

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

Ex:
$f(x)=x+3$ $g(x)=x^2+x$

      $(x + 3) - (x^2 + x)$

   $x+3 - x^2 - x$

   $3 - x^2$
Product
(f*g)(x)= f(x) * g(x)

Ex:
$f(x)=x+3$    $g(x)=x^2+x$

   $(x+3)(x^2+x)$

      $x^3 + 4(x^2) + 3x$

Quotient
$(f/g)(x)= \frac{f(x)}{g(x)} ,g(x)\neq 0$

Ex:
$f(x)=x+3$       $g(x)=x^2+x$
   $\frac{x+3}{x^2+x}$

Now you try!!!

http://www.education.com/study-help/article/pre-calculus-help-combinations-functions/

(f+g)(3) = 0 + (-2) = -2

(f-g)(-5) = -2 - 4 = -6

Great Site For Help (Click Here)

1 comment:

UnknownSeptember 27, 2012 at 8:10 PM
This comment has been removed by the author.
ReplyDelete
Replies

Add comment