Question

write the domain of the following relation in list form.
${(6,\sqrt{2}),(7,\sqrt{3}),(8,\sqrt{4}),(9,\sqrt{5})}$
domain =
${6, 7, 8, 9, \sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5}}$
${\sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5}}$
${6, 7, 8, 9}$

Explanation:

Step1: Identify domain definition

The domain of a relation is the set of all first elements from each ordered pair.

Step2: Extract first elements

From the pairs $(6,\sqrt{2}), (7,\sqrt{3}), (8,\sqrt{4}), (9,\sqrt{5})$, the first elements are 6, 7, 8, 9.

Step3: Form domain set

Collect these elements into a list-form set.

Answer:

C. {6, 7, 8, 9}