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?