Question

The regular price of a pair of jeans is x dollars. Let f(x) = x - 15, where frepresents the price of

the jeans discounted by $15. Let g(x) = 0.8 x represent the price of the jeans discounted by 20%.
Use composition to find the price of the jeans if they are first discounted by 20%, then by $15.

Answer 1

(f o g)(x) = 0.8x - 15

Explanation:

(f o g)(x) = f(g(x)) = applying first g(x), and then using that result as input value for f(x).

so, first we discount by 20% and use g(x)

g(x) = 0.8x

and then we use that in f(x)

f(0.8x) = 0.8x - 15

and that is the result.