Question

The total revenue from the sale of a popular book is approximated by the rational function, R(x)=1100x^2/x^2 + 4 where x is the number of years since publication and is the total revenue in millions of dollars. Use this function to complete parts a through d. ​

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}

Solution:

Revenue is the total money made from the selling of a product or item.

a) Given the revenue function:

$R(x)=\frac{1100x^2}{x^2+4}$

At the end of the first year (i.e. x = 1), the venue is given as:

$R(1)=\frac{1100(1)^2}{(1)^2+4} =220\\\\R(1)=\ 220\ million$

b) At the end of the second year (i.e. x = 2), the venue is given as:

$R(2)=\frac{1100(2)^2}{(2)^2+4} =220\\\\R(2)=\ 550\ million$

c) The domain of the function is the value of the denominator for which the value of the denominator is not zero

x² + 4 ≠ 0

The domain is {x| x is a real number and x ≥ 0}