Problema Solution
Salary: You are a sales representative for a clothing manufacturer. You are paid an annual salary, plus a bonus of 3% of your sales over $500,000. Consider the two functions f(x)=x-500000 and g(x)=0.03x. When x is greater than $500,000, which of the following represents your bonus? Explain your reasoning.
(a) f(g(x))
(b) g(f(x))
Answer provided by our tutors
The bonus for sales of x dollars, x > 500,000 is 3% of x - 500,000 or:
0.03*(x - 500,000) = 0.03*f(x) = g(f(x))