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Discrete Math Help for Foundation for functions

Discrete Math Help

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:

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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!

    ->(f+g)(x) = 5x+8

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

     ->(f-g)(x) = -x-2

 Multiplication and Division of functions:

Multiplication and Division of functions:


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

 ->(f.g)(1)= 5.10 = 50

 ->(f/g)(1)= f(1) / g(1) = 10/50= 1/2

Composition between functions:

Discrete math assignment help

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+3è6x+13 = fog(x)

Need more help with Foundation for functions,connect with expert tutors at Discrete math help now!!!

You can also, Read our other blog Mathematical Expression, Equation & Relationships

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