Question

The total revenue, in thousands of dollars, from the sale of a popular book is given by the expression (1500x^2)/(x^2 + 9), where x is the number of years since publication. Determine the domain of this expression. Then find the total sales revenue of the book three years after it was published.

Answer 1

a) 200 million dollars

b) 500 million dollars

c) Option A)

Explanation:

We are given the following in the question:

where R(x) is the revenue function in millions of dollars and x is the number of years since publication.

a) total revenue at the end of the first year

We put x = 1 in the revenue function

Thus, the revenue after 1 year is 200 million dollars.

b) total revenue at the end of the second year

We put x = 2 in the revenue function

Thus, the revenue after 2 year is 500 million dollars.

c) domain of function R

Domain:

It is the values of x for which the function R(x) is defined.

Since,

Thus, it is a proper function.

The domain is given by

Option A)