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Relations And Functions
Quiz 4
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Let f, g : R → R be two functions defined as f (x) = |x| + x and g (x) = |x| – x for $x \in R$ The value of (g o f) is
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x
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-x
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0
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x+1
The value of (f o g) is
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x
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-x
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0 for x > 0 and -4x for x < 0
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0 for x < 0 and -4x for x > 0
Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}. Then R is
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symmetric and transitive
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reflexive but not symmetric
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reflexive but not transitive
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neither symmetric, nor transitive
Let f: A → B and g : B → C be the bijective functions. Then (g o f)
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f
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f o g
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(i) and (ii)
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None of the above
Explanation
f
Let f: R – {\(\frac{3}{5}\)} → R be defined by f(x) = \(\frac{3x+2}{5x-3}\) then
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f
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t
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(i) and (ii)
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None of the above
Explanation
f
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