## Pre-Algebra Tutorial

*Operation on Functions*

#### Intro

The following are the operations on Functions:

a. for the sum f+h, (f+h)(x)=f(x)+h(x)

b. for the difference, (f-h)(x)=f(x)-h(x)

c. for the product, (f*h)(x)=f(x)*h(x)

d. for the quotient, (f/h)(x)=f(x)/h(x)

#### Sample Problem

Let f(x)=2x+3; h(x)=3x-1, find:

a. (f+h)(x)

b. (f-h)(x)

c. (f*h)(x)

d. (f/h)(x)

#### Solution

a. (f+h)(x)

f(x)+h(x)=(2x+3)+(3x-1)

=2x+3+3x-1

=5x+2

b. (f-h)(x)

f(x)-h(x)=(2x+3)-(3x-1)

=2x+3-3x+1

=-x+4

c. (f*h)(x)

f(x)*h(x)=(2x+3)(3x-1)

=6x^2-2x+9x-3

=6x^2+7x-3

d. (f/h)(x)

= f(x)/h(x)= (2x+3)/(3x-1)

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