Assignment Help USA

Foundation for functions – Algebra Lesson (Mathematics )

Functions

What is a Function?

A function can be expressed in many ways, some of them being linear, quadratic, logarithmic functions etc. But just like numbers there are operations which can be used even on functions.

Addition and Subtraction between functions:

Foundation for functions

Example:

If f(x) = 2x+3 and g(x) = 3x+5, then find (f+g)(x) and (f –g)(x).

So, by using the above formula,

(f+g)(x) = 2x+3+3x+5    Combine like terms!

è(f+g)(x) = 5x+8

(f –g)(x) = 2x+ 3 – (3x+5) è 2x+3 – 3x-5

è(f-g)(x) = -x-2

Multiplication and Division of functions:

Type of functions

Example:

If f(x) = (x2+ 4), g(x) = (2x+8), find (f.g)(1), (f/g)(1).

So, (f.g)(1) = f(1).g(1)

f(1)=(12+ 4)= 5 and g(1)= 2(1)+ 8= 10

è(f.g)(1)= 5.10 = 50

è(f/g)(1)= f(1) / g(1) = 10/50= 1/2

Composition between functions:

Example: f(x)= 2x+3, g(x)= 3x+5, find fog(x)

fog(x)= f(g(x))

f(3x+5)= 2(3x+5) +3

-> 6x+10+3  -> 6x+13 = fog(x)

For More info about Math Equations and Relationshipsconnect with tutors on Math Assignment Help!!

You can also, Read our other blog How To Write The Best College Assignment? Follow The General Advice

Leave a Reply

Your email address will not be published. Required fields are marked *

*

Scroll To Top