. A relation : → is defined by
= {(, ): = 2 + 1 ; −2 ≤ ≤ 1; ∈ }. Find the domain and
range of
−1
. Also represent the relation
−1
in arrow diagram.
Answers
Step-by-step explanation:
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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}
Step-by-step explanation:
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