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

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 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&#039;s score by 10% and b. Giving everyone 8 bonus points c. x represents the original score of a student

hosentak · Accepted Answer

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