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.

i do not know this sorry : (

15 units use socratic

step-by-step explanation: 15 units

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is