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MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
- "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...
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- Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...
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- Let * is a binary operation on the set of all non-zero real numbers, g...
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...
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- If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...
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- Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...
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- Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...
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- Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...
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- Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...
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- Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Find the number of equivalence, relations on X ={1,2,3),
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- Let A = {1, 2, 3). Then, show that the number of relations containing ...
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- Let R be a relation on the set A of ordered pairs of positive integers...
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- Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...
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- Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...
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- Congruence modulo 3 relation partitions the set Z into how many equiva...
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- Let R be the relation on the set R of real numbers such that aRb iff a...
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- Constract the composition table/multiplication table for the binary op...
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