Starting Out with C++: Early Objects
Starting Out with C++: Early Objects
8th Edition
ISBN: 9780133360929
Author: Tony Gaddis, Judy Walters, Godfrey Muganda
Publisher: Addison-Wesley
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Chapter 9.6, Problem 9.15CP

Explanation of Solution

Complexity of an algorithm:

The complexity of an algorithm solves a computations problem by finding the number of basic steps required for an input.

To show every function in O(g(n)+100) is also in O(g(n)) :

Let us consider g(n)1 for all n1Clearly 100100g(n) for all n1 this gives that g(n)+100g(n)+100g(n)g(n)+100101g(n)   for all n1If f(n) is in O(g(n)+100), there exists a positive K such that 

f(n)K(g(n)+100)f(n)K(

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Students have asked these similar questions
How do we define that a function f(n) has an upper bound g(n), i.e., f(n) ∈ O(g(n))?
Let f (n) and g(n) be functions with domain {1, 2, 3, . . .}. Prove the following: If f(n) = O(g(n)), then g(n) = Ω(f(n)).
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Starting Out with C++: Early Objects

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