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:
[tex]R(x)=\frac{1100x^2}{x^2+4}[/tex]
At the end of the first year (i.e. x = 1), the venue is given as:
[tex]R(1)=\frac{1100(1)^2}{(1)^2+4} =220\\\\R(1)=\$ 220\ million[/tex]
b) At the end of the second year (i.e. x = 2), the venue is given as:
[tex]R(2)=\frac{1100(2)^2}{(2)^2+4} =220\\\\R(2)=\$ 550\ million[/tex]
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}
