please help!

Question

The regular price of a pair of jeans is x dollars. Let f(x) = x - 5 and g(x) = 0.6x. Find (f o g)(x) and describe what this models in terms of the price of jeans.

Answer 1

The regular price of a pair of jeans is x dollars.

Let f(x) = x - 5 and g(x) = 0.6x.

Functions f and g model the discounted price of the jeans. Function f(x) models that new price is 5 dollars less than its regular price, function g(x) models that new price is 0.6 times its regular price, meaning 40% less than the regular price

 

Find (fog)(x) :

= f [ g(x) ]

= f [0.6x]

= 0.6x - 5.

(fog)(x) = 0.6x - 5.

This describes that the new jeans price is 60% of it's old jeans with additional 5$ discount.