To calculate:To check if (f∗g)(x)=(g∗f)(x). Professor Harsh gave a test to his college algebra class...

Wribreeminsl

Wribreeminsl

Answered

2021-02-05

To calculate:To check if (fg)(x)=(gf)(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

Answer & Explanation

hosentak

hosentak

Expert

2021-02-06Added 100 answers

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 (fg)(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 (gf)(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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