Question 257470
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:
{{{f(x) = x + 5}}}
b) Write a function, g(x) to represent just the precent of increase.
ANSWER:
{{{g(x) = 100*(x+5)/71}}}
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