Question

To calculate:To check if(f*g)(x)=(g*f)(x). Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on

Upper level algebra
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asked 2021-02-05

To calculate:To check if \((f*g)(x)=(g*f)(x)\). Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test. One problem worth 8 points had insufficient data, so nobody could solve that problem.
The professor adjusted the grades for the class by
a. Increasing everyone's score by 10% and
b. Giving everyone 8 bonus points
c. x represents the original score of a student

Expert Answers (1)

2021-02-06
The function \(f(x) = 1\). lxrepresents the score increased by 10%
The function \(g(x) = x + 8\) represents the score increased by 8 points
The function \((f*g)(x) = 1.1(x + 8)\) represents the final score when the score is first increased by 8 bonus points and then by 10%
The function \((g*f)(x) = 1.1x + 8\) represents the final score when the score is first increased by 10% and then by 8 bonus points
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