Question

the function below describes the relationship between the height h and the width w of a rectangle with area 75 sq. units.

h(w)=\frac{75}{w}

what is the domain of the function?

a. w>0

b. w>1

c. w<1

d. w<0

Explanation:

Step1: Analyze the function \(H(w)=\frac{75}{w}\)

The function is a rational function. In a rational function \(\frac{a}{b}\), the denominator \(b
eq0\). So \(w
eq0\).

Step2: Consider the real - world context

Since \(w\) represents the width of a rectangle, width cannot be negative.

Answer:

A. \(w > 0\)