A math test has a bonus question. The directions simply state that if you answer the question correctly you will receive 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 percent of increase.
c. Explain the meaning of f (g(x)).
d. Find f (g(75)).
e. Explain the meaning of g(f (x)).
f. Find g(f (75)).
g. Does f (g(x)) = g(f (x)) in this problem?