SOLUTION: A math test has a bonus question. The directions simply state that if you answer the question correctly you will recieve 5 bonus points and your test grade will be increased by 7%

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Question 257470: A math test has a bonus question. The directions simply state that if you answer the question correctly you will recieve 5 bonus points and your test grade will be increased by 7% of your score. Let x = test score before answering the bonus question.
a) write a function, f(x) to represent just the 5 bonus points
b) Write a function, g(X) to represent just the precent of increase.
c) Explain the meaning of f(g(x))
d) Explain the meaning of g(f(x))
e) Does f(g(x)) = g(f(x)) in the problem? Explain
**** Please help me answer all these questions, i really dont understand. Please and thank you!
Answer by drk(1908) (Show Source):
You can put this solution on YOUR website!
X is the number of points.
First we have a proportion
5/N = 7/100
Solving, we get n ~ 71.42 or ~ 71.
There are 71 points on this test.
a) write a function, f(x) to represent just the 5 bonus points
ANSWER:

b) Write a function, g(x) to represent just the precent of increase.
ANSWER:

c) Explain the meaning of f(g(x))
ANSWER: The g(x) is a percentage which you then add to a number of points.
d) Explain the meaning of g(f(x))
ANSWER: f(x) is a raw score that you are converting into percentage
e) Does f(g(x)) = g(f(x)) in the problem? Explain
They are not the same.
f(g(x)) = (100x+855)/71
g(f(x)) = (100x + 1000)/71