Mathematics: A company released a new line of shoes. The profit that the company can earn from the shoes is modeled by the function P(n) = -2n2 + 192n - 3640 where Pis the profit, in thousands of dollars, and n is the number of pairs of shoes manufactured, in hundreds. Which is the maximum profit that the company can earn from its new line of shoes?

Option a is correctStep-by-step explanation:Given the functions:Then;Substitute the function g(x), we have;Replace x with x-4 in function f(x) we have;⇒Substitute value of x = 10 we have;⇒Simplify:Therefore, the value of is, 37...

A company released a new line of shoes. The profit

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stacy99

13.08.2022

Mathematics

Option a is correct

(f o g)(10) =37

Step-by-step explanation:

Given the functions:

f(x) = x^2+1

g(x) = x-4

Then;

(f o g)(x) = f(g(x))

Substitute the function g(x), we have;

f(x-4)

Replace x with x-4 in function f(x) we have;

f(x-4) = (x-4)^2+1

⇒ (f o g)(x) = (x-4)^2+1

Substitute value of x = 10 we have;

(f o g)(10) = (10-4)^2+1

⇒ (f o g)(10) = (6)^2+1=36+1

Simplify:

(f o g)(10) =37

Therefore, the value of (f o g)(10) is, 37

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