The function below describes the relationship between the height H and the width w of a rectangle with area 70 sq. units. H(w)= 70/w What is the domain of the function?

Question

asked Oct 2, 2020 10.7k views

2 Answers

Jacob Jennings · Answer 1 · 2020-10-03T09:47:04+0000

Answer:

$w \\e0$

Explanation:

The area of a rectangle is given by:

$Area = L * \: W$

In this case, we have the height replacing the length.

Area=H* w

The area of the rectangle is 70.

H* w = 70

Dividing through by w gives:

H = (70)/(w)

Or to show that H is dependent on w, we write

H (w)= (70)/(w)

$w \\e \: 0$

Domain is the set of all real numbers for which the function is defined.

Therefore the domain is all real numbers except 0.