Question

STATE THE DOMAIN OF EACH OF THE FOLLOWING RELATIONS.

1.7) {(x, y): x = root y}
Domain ………

1.8) {(r, s): s = (2r -5)/13r }
Domain ………

1.9) {(a, b): ab = 12}
Domain ………​

Answer 1

Step-by-step explanation:

1.7) x = √y

The square root must be non-negative, so the domain is x ≥ 0, or in interval notation, [0, ∞).

1.8) s = (2r − 5) / (3r)

The denominator can't be 0, so r can't be 0.  So the domain is r ≠ 0, or in interval notation, (-∞, 0) (0, ∞).

1.9) ab = 12

Solve for b: b = 12/a

The denominator can't be 0, so a can't be 0.  So the domain is a ≠ 0, or in interval notation, (-∞, 0) (0, ∞).