\(\# 7 \) Write a linear equation in slope-intercept form of the line that passes through the point \( ( - 3,4 ) \) and is perpendicular to \( 3 x + y = 4 . \)
\( \# 8 \) Write a linear equation in slope-intercept form of the line that passes through the point \( ( 5,1 ) \) and is parallel to \( y + 4 = - \frac { 1 } { 5 } ( x - 7 )\)
7. y=\frac{1}{3}x+5
8. 5x-4y=21
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.
