Question

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?

Answer 1

Answer:

$w \ne0$

Step-by-step explanation:

The area of a rectangle is given by:

$Area = L \times \: W$

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

$Area=H\times w$

The area of the rectangle is 70.

$H\times w = 70$

Dividing through by w gives:

$H = \frac{70}{w}$

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

$H (w)= \frac{70}{w}$

$w \ne \: 0$

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

Therefore the domain is all real numbers except 0.

Answer 2

Answer:

w>0

Step-by-step explanation: