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If f(x) = (x+1)/(x+2) and g(x) = x^2, th...

If `f(x) = (x+1)/(x+2) and g(x) = x^2`, then find fog

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. If f : R rarr R is defined by f(x) = x + 2, find f(f(x))

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

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  3. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find fog

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  4. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find gof.

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  5. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

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  6. Let f(x) = (4x+3)/(6x-4), x ne 2/3 .show that fof (x) = x.

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  7. Find gof and fog if f: RrarrR and g: R rarr R are given by f(x) = co...

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  8. If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be g...

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  9. Let f : { 1, 2, 3} rarr {a, b, c} be one-one and onto function given b...

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  10. Let A = R- {3} and B = R- {1}. If f: ArarrB is a function defined by ...

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  11. Let Y = {n^2 : n in N} sub N Consider f : N rarr Y as f (n) = n^2 Show...

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  12. Let f: Nrar R be a function defined as : f(x) = 4x^2 + 12 x + 15. Sho...

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  13. Let f : N rarr N be a function deifned by f(x) = 9x^2 + 6x - 5. Show ...

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  14. Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...

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  15. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

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  16. Let ** be a binary operation on the set of all non-zero real numbers,...

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  17. A binary composition '*' is defined on R xx R by (a,b) * (c,d) = (ac,...

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  18. Let '*' be a binary operation on N given by : a*b = LCM (a,b) for all ...

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  19. The binary operation ** : R xx R rarrR is defined as a ** b = 2a + b....

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  20. Let * be the binary operation on N. Prove that (20*16) = 20*(16*8)

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