Question

i. Let R be the relation on the set Z of all integers defined by R = {(x, y): x - y is divisible by n}.

Prove that

a. (x, y) belongs to R

(y, x) belongs toR for all x, y Z.

b. (x, y)belongs to R and (y, z) R

(x, z) belongs toR for all x, y, z Z.

ii. Find the domain and range of the function f(x) = x^2-9/(x-3)

iii. Find the domain of the function f(x) = x^2+3x+5/x^2+x-6

Answer 1

Answer:

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