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) îR
= (y,x) î R for all x, y îZ.
b. (x, y) îRand (y, z) îR
(x,z) î R for all x, y, z î 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

HEYA MATE YOUR ANSWER IS

(x,y) îR

= (y,x) î R for all x, y îZ.

b. (x, y) îRand (y, z) îR

(x,z) î R for all x, y,

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