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Consider the function f(x) = (1-x)/(1+x)...

Consider the function `f(x) = (1-x)/(1+x)`. Is f one-one? If yes, find `f^-1`

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let f : R to R be the signum function defined as f(x) = {{:(1, x gt 0...

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  2. Let f: R rarr R be defined as f(X) = 3x. Then

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  3. Consider the function f(x) = (1-x)/(1+x). Is f one-one? If yes, find f...

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  4. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  5. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  6. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  7. Show that *:RxxRrarrR, given by (a,b)rarra+4b^2 is a binary operation...

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  8. Let a mapping '*' from R xx R to R be defined by a * b = 2 a + 2 b for...

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  9. Let a binary operation '*' be defined on Z by a * b = 2 a + 2b for all...

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  10. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  11. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  12. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  13. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  14. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  15. Consider the operations '*' and o+ on the set R of all real numbers de...

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  16. Consider the operations '*' and o+ on the set R of all real numbers de...

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  17. Consider the operations '*' and o+ on the set R of all real numbers de...

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  18. Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary opera...

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  19. Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary opera...

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  20. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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