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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
- 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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- If S is the set of all rational numbers except 1 and * be defined on S...
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- If S is the set of all rational numbers except 1 and * be defined on S...
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- Construct the multiplication table times7 on the set {1, 2, 3, 4, 5, 6...
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- Consider the binary operation **:R xxR to R and o:R xx R to R defined ...
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- Consider the binary operation **on the set {1, 2, 3 , 4, 5} defined by...
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- If ** is a binary operation on set Q of rational numbers such tht a**b...
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- if ** is the binary operation on N given by a**b= L. C. M of a and b. ...
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- if ** is the binary operation on N given by a**b= L. C. M of a and b. ...
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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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- Prove that f:X rarr Y is injective iff f^(-1) (f(A)) = "A for all" A s...
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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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