Question

The regular price of a pair of jeans is x dollars. Let f(x) = x − 14.60, where f represents the price of the jeans discounted by $14.60. Let g(x) = 0.9timesx represent the price of the jeans discounted by 10%. Use composition to find the price of the jeans if they are first discounted by $14.60, then by 10%.

Answer 1

(g f)of(x) = 0.9timesx − 14.60

(f g)of(x) = 0.9timesx + 14.60

(f g)of(x) = 0.9timesx + 13.14

(g f)of(x) = 0.9timesx − 13.14

Answer 2

@aum would be a?

Answer 3

"first discounted by $14.60, then by 10%"
implies calculate f(x) first and then g(x). So it is g(f(x)) or (g o f)(x).
g(x) = 0.9x
g(f(x)) = 0.9 * f(x) = 0.9(x - 14.60) = 0.9x - 13.14