Question

Write the domain and ranges of the following relations. Also find their inverse relations.
i) R, = {(1,1),(4,2), (9,3), (16,4)};ii) R3 = {(1,x), (2, y),(3, )}; iii) R. = {(x, y)/y = 2x x, y E N}​

Answer 1

Answer:

In domain and range of a relation, if R be a relation from set A to set B, then

• The set of all first components of the ordered pairs belonging to R is called the domain of R.

Thus, Dom(R) = {a ∈ A: (a, b) ∈ R for some b ∈ B}.

• The set of all second components of the ordered pairs belonging to R is called the range of R.

Thus, range of R = {b ∈ B: (a, b) ∈R for some a ∈ A}.

Therefore, Domain (R) = {a : (a, b) ∈ R} and Range (R) = {b : (a, b) ∈ R}