Question 1 An electronics store is having a back-to-school sale. Blake is interested in purchasing a new computer, and the one he’s been wanting to buy currently has a manufacturer’s rebate of $100. The store is also offering a 10% discount with a school ID, which Blake carries regularly in his wallet.

Part A
Suppose f(x) = x − 100 and g(x) = 0.9x. Find (f ∘ g)(x).

Part B
In the context of this situation, (f ∘ g)(x) represents the price of the computer if the discount is taken off the sale price before the manufacturer’s rebate is deducted. What would (g ∘ f)(x) represent in the context of the situation?
Part C
Find (g ◦ f)(x).
Part D
Which order of function composition would benefit Blake the most? Justify your answer.