Question

state the domain of each of the following relations

a. {(x,y) : x = √y}

b. {(r,s) : s = 2r - 5/13r

c. {(a,b) : ab = 12}

Answer 1

a.
\[x=\sqrt{y},x~is~positive,x \ge0,y \ge 0\]
Domain is all positive real values .i.e.,\[x \ge 0\]

Range is also all positive real numbers. i.e.,\[y \ge 0\]