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

The answer is below

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 is a real number and x greaterthanorequalto 0 x x is a real number and x notequalto 2, x notequalto 5 x

Solution:

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

a) Given the revenue function:

`R(x)=(1100x^2)/(x^2+4)`

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

`R(1)=(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)=(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