A Rectangular Sheet of Metal Has a Length That Is

question 170

Essay

A rectangular sheet of metal has a length that is 2 less than 4 times the width.
(a)Write the area of the rectangular sheet as a function of the width.
(b)Without simplifying,write the ratio of the length of the sheet to the area of the sheet as a function of the width.
(c)Simplify the function you wrote in b.
(d)What kind of function is this?
(e)What is its domain out of context?
(f)What is its domain in the given context?