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Prove that f: (-1, 1) rarr R defined by ...

Prove that f: (-1, 1) `rarr` R defined by , ``f(x)= {(x/(1+x),-1

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. If f(x) = loge x, x > 0, prove that : f (uvw) = f (u) + f (v) +f (w).

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  2. Is the function: f(x)= (x^2-8x+18)/(x^2+4x+30) one-one ?

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  3. Prove that f: (-1, 1) rarr R defined by , f(x)= {(x/(1+x),-1<x<0),(0,x...

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  4. Let f: N rarr N be defined by : f(n)= {(n+1, if n is odd),(n-1, if n ...

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  5. Let f: N uu {0} rarr N uu {0} be defined by : f(n)= {(n+1, if n is ev...

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  6. The set of numbers which are mutiples of 5 is :

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  7. The set of prime numbers less than 100 is :

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  8. The set of circles passing through (0, 0) is :

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  9. The set A uu A’ is:

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  10. The set A nn A’ is:

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  11. The set phi is

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  12. Let A = {1, 2}, B= {3, 4}, then the number of relations from A to B wi...

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  13. Let A = {x, y,z} and B = {1,2}. Find the number of relations from A to...

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  14. A function 'f' is defined by f(x) = 2x - 5, find : f(-3).

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  15. If U ={1,2, 3, 4,5, 6,7,8, 9,10} and A= {3, 4, 7, 9}, then A’ equals :

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  16. If A= {1,2,3,4,5,6,7} and B= {7,8,9,10}, then A-B equals :

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  17. If A= {1, 2,3, 4,5, 6,7} and B= {3,5,7,9,11}, then A nn B equals :

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  18. Which of the following are sets ? Justify your answer. A collection of...

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  19. Set of even prime number is a

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  20. A collection of most dangerous animals of the word is :

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