Question

PLEASE HELP I NEED THIS SOON! The monthly revenue of a digital magazine from each user is represented by the function f(x) = 4x + 1. The monthly cost to provide the digital magazine to each user per month is represented by the function g(x) = x2. Which of the following evaluates the profit function for each user of the digital magazine after 2 months?

A (f • g)(2) = (4(2) + 1)(22) = (9)(4) = $36
B (f + g)(2) = (4(2) + 1) + 22 = 9 + 4 = $13
C (g − f)(2) = 22 − (4(2) + 1) = 4 − 9 = −$5
D (f − g)(2) = (4(2) + 1) − 22 = 9 − 4 = $5

Answer 1

The answer is D(f-g)

Explanation:

Profit minus expenses

Answer 2

D

Explanation:

The profit can be defined as (cost of production) - (revenue) and since the cost is defined as g(x) = x^2 and the revenue is f(x) = 4x+1. The profit can be defined as
`(f-g) = (4x+1)-x^2 = -x^2+4x+1`. After 2 months you can calculate the profit by simply plugging in 2 as x. This gives you the equation:
`(f-g) = (4(2) + 1) - 2^2 = 9-4 = 5\$`