\(1 \) John has to type a \( 2,000 \) -word business research report, and he types at a rate of \( 40 \) words per minute. The function \( R ( m ) = ( \frac { 2,000 } { 40 } ) - m \) can be used to calculate the number of minutes required to finish after \( m \) minutes of typing. What is the domain for function \( R \) in this context? Hint: Graph to find Select one answer. ine domain \( ( x ) - \) How wide
A \( m < 0 \)
B \( 0 \leq m \leq 50 \)
C \( m > 50 \)
D All real numbers
B
Find the inverse for each of the following functions.
\(f ( x ) = 3 x + 1\)
\(g ( x ) = 1 x ^ { 3 } - 5\)
\(h ( x ) = \frac { 3 } { x + 5 }\)
\(j ( x ) = \sqrt[ 3 ] { x + 1 }\)
The total revenue from the sale of a popular book is approximated by the rational function \( R ( x ) = \frac { 1700 x ^ { 2 } } { x ^ { 2 } + 4 } \) , where \( x \) is the number of years since publication and \( R ( x ) \)
is the total revenue in millions of dollars.
(a) Find the total revenue at the end of the first year.
(b) Find the total revenue at the end of the second year.
