For the function g(x)=x- 25x solve the following.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 68E
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For the function g(x)=x° - 25x solve the following.
g(x) > 0
Select the correct choice below and fill in the answer box within your choice.
O A. The solution is }. (Use a comma to separate answers as needed.)
O B. The solution is
(Type your answer in interval notation.)
Transcribed Image Text:For the function g(x)=x° - 25x solve the following. g(x) > 0 Select the correct choice below and fill in the answer box within your choice. O A. The solution is }. (Use a comma to separate answers as needed.) O B. The solution is (Type your answer in interval notation.)
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Given equation for g(x) - g(x) = x5-25x3Given condition,g(x) > 0Then,x5-25x3 > 0x3x2-25 > 0x3x2-52>0x3x-5x+5 > 0x3>0x>0          ..............(1)And,x-5> 0x >5 .................(2)And,x+5 > 0x >-5         ...................(3)From equation (1), (2) and (3) - Value of x should be greater than 0,Value of x should be greater than 5Value of x should be greater than -5.Conclusion from above three statements is that, value of x should be greater than 5.

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