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Let A = (-1,1). In each of the following...

Let A = (-1,1). In each of the following cases, check whether f, A ` rarr` A is one-one or onto or both.
`f(x) = x/2`

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Whether the following functions is one-one? f(x) = (1)/(x^2) + 1

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  2. Whether the following functions are one-one? f(x) =x + (1)/(x)

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  3. Let A = (-1,1). In each of the following cases, check whether f, A ra...

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  4. Whether the following functions are one-one? f(x) = |x|

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  5. Whether the following functions are one-one? f(x) = x|x|

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  6. Whether the following functions are one-one? f(x) = x^2

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  7. Let f : X rarr Y be defie by f(x) = x^2 for all x in X where X = (-...

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  8. Let f : X rarr Y be defie by f(x = x^2 for all x in X where X = (-2...

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  9. Let f : X rarr Y be defie by f(x = x^2 for all x in X where X = (-2...

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  10. Let f : N rarr N be defined by f (X) = x + 3 for all x in N, obtain f^...

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  11. If f = (5,2),(6,3), g = (2,5),(3,6), write fog.

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  12. Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , ...

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  13. If f (x) = (a-x^n)^(1//n) prove that f(f(x)) = x

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  14. If f(X) =(ax-b)/(bx-a), show that f(f(x)) = x

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  15. If f(x) = (1)/(1-x), show that f(f(x)) = x

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  16. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

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  17. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

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  18. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

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  19. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

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  20. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

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