4. A rocket is shot straight into the air at an initial velocity of \( 80 \) feet/second. The height of the rocket after \( t \) seconds is represented by the formula
\( h = 80 t - 5 t ^ { 2 } . \) What is the maximum height the rocket reaches?
\( 320 \) feet
\( 330 \) feet
\( 290 \) feet
\( 300 \) feet
Option A is correct
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.
