# Use the definition of "f(x) is O(g(x))" to show that 2x + ## Problem 4E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 4E

Use the definition of "f(x) is O(g(x))" to show that 2x + 17 is O(3x).

Step-by-Step Solution:

Solution:Step 1:The objective is to show that 2x + 17 is O(3x).Step 2:To indicate 2x + 17 is O(3x) by then we ought to show that the going with imbalance is substantial, To do, all things considered, we ought to find a C and a k that make the uniqueness certifiable. 2x + 17 C.(3x) for x > k In this way, we can mention a couple objective facts. It is anything but difficult to see that the right-hand side will become speedier than the left-hand side after some time. Be that as it may, when is x is a modest number, the 17 on the left side will rule. So we realize that we can leave C as 1 in light of the fact that 3x will become speedier than 2x +17 all alone. Be that as it may, we need to skirt a portion of the littler estimations of x by setting k. The littlest estimation of x where 2x + 17 3x is genuine is 3. So we ought to set k to 2 best get the accompanying condition.2x + 17 1.(3x) for x > k

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##### ISBN: 9780073383095

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. The answer to “Use the definition of "f(x) is O(g(x))" to show that 2x + 17 is O(3x).” is broken down into a number of easy to follow steps, and 15 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: definition, show, use. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 4E from 3.2 chapter was answered, more than 253 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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