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# Use the definition of "f(x) is O(g(x))" to show that x4 + ISBN: 9780073383095 37

## Solution for problem 3E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 3E

Use the definition of "f(x) is O(g(x))" to show that x4 + 9x3 + 4x + 7 is O(x4).

Step-by-Step Solution:

Step 1:

In this problem, we have to use the definition of "f(x) is O(g(x))" to show that x4 + 9x3 + 4x + 7 is O(x4).

Step 2:

Definition of Big -O Notation

For a growing function we defined a function which is known as big-O-notation.

Let f and g be a function with f:A and g:A We can say that f(x) is O(g(x)) if there are constant C and k such that |f(x)| |g(x)| whenever x>k

Step 3 of 4

Step 4 of 4

##### ISBN: 9780073383095

Since the solution to 3E from 3.2 chapter was answered, more than 309 students have viewed the full step-by-step answer. This full solution covers the following key subjects: definition, show, use. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Use the definition of "f(x) is O(g(x))" to show that x4 + 9x3 + 4x + 7 is O(x4).” is broken down into a number of easy to follow steps, and 19 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 3E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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