ERRE Which is the composite function for the price a loyalty
member would pay based on the original price, x?
A website is having a sale of 15% off the price, x, of
regular-priced items. For its loyalty club members, the
site is offering an additional 15% off the sale price. An 8%
shipping and handling fee is then added to the
discounted price to determine the final cost. The
functions below represent each part of a loyalty
member's purchase.
Sales price: S(x) = 0.85x
Loyalty member discount: L(S) = 0.85S
O C(L(x)) = 2.7800x
O C(L(x)) = 0.9180x
O C(L(x)) = 0.7803x
O C(L(x)) = 0.7225x
Final cost: C(L) = 1.08L