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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
- Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...
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- Show that the relation R defined on the set Z of all integers defined ...
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- Find least positive integer x, satisfying 276x+128=4 (mod 7).
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Test wheter relations are reflexive, symmetric or transitive on the se...
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- If R and S are two equivalence relation on the set then prove that Rca...
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- If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...
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- "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...
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- The ralation R on Z is defined by for m, nin Z, mRnimpliesm/n is a pow...
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- Show that the relation R on the set A={1, 2, 3, 4, 5} given by R={(a,b...
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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- Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R...
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- If the function'f : R rarrR is given by f(x) = x^(2) +2 and g:R rarr R...
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- Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...
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- Show that the fuction f in A=R-{2/3} definde as f(x)=(4x+3)/(6x-4) is ...
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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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- Let f : W rarr W be defined as f (x) = x -1 if x is odd and f(x) = x +...
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- If f:R to R is defined as f(x)=10x +7. Find the function g:R to R, suc...
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- If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...
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- If the function f:RrarrR is given by f (x)=(x)^2+3x+1 and g:RrarrR is ...
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