find the domain and range of relation
R={(x,y) : y=x+ 6/x , x,y belong to N , and x is less than 6}
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In the picture above
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he domain refers to the set of possible input values. The domain of a graph consists of all the input values shown on the x-axis.
Step-by-step explanation:
When x = 1, y = 7 ∈ N, so (1, 7) ∈ R. Again for, x = 2 . y = 2 + 6/2 = 2 + 3 = 5 ∈ N, so (2, 5) ∈ R. Again for x = 3, y = 3 + 6/3 = 3 + 2 = 5 ∈ N, (3, 5) ∈ R. Similarly for x = 4 y = 4 + 6/4 ∉ N and for x = 5 , y = 5 + 6/5 ∉ N Thus R = {(1, 7), (2, 5), (3, 5)}, where Domain of R = {1, 2, 3} Range of R = {7, 5}
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