Problema Solution
You work forty hours a week at a furniture store. You receive a $220 weekly
salary, plus a 3% commission on sales over $5000. Assume that you sell enough this week to get the commission. Given the functions f(x) = 0.03x and g(x) = x − 5000.
1)what is (f ◦ g)(x)?
2)what is (g ◦ f)(x)?
3)which function, f ◦g or g ◦f, represents your commission
Answer provided by our tutors
1)what is (f ◦ g)(x)?
(f ◦ g)(x) = f(g(x)) = f(x - 5000) = 0.03(x - 5000) = 0.03x - 150
2)what is (g ◦ f)(x)?
(g ◦ f)(x) = g(f(x)) = g(0.03x) = 0.03x - 5000
3)which function, f ◦g or g ◦f, represents your commission
the commission is 0.03(x - 5000) = (f ◦ g)(x)