Operation on Functions

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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