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Let A=R-{3} and B=R-{1} . Consider the f...

Let` A=R-{3}` and `B=R-{1} `. Consider the function` f:A–>B`. defined by `f(x)= (x-2)/(x-3) `Is f one one or Onto? Justify your answer

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. In the following case, state whether the function is one-one, onto or ...

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  2. Let f:NrarrN be defined by, f(n) = {((n+1)/2,,if n is odd,,),(n/2,,if ...

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  3. Let A=R-{3} and B=R-{1} . Consider the function f:A–>B. defined by f(x...

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  4. Let f : RrarrR be defined as f (x) = 3x Choose the correct answer.

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  5. Let f : (2, 3, 4, 5} rarr ( 3, 4, 5, 9} and g = (3, 4, 5, 9} rarr (7, ...

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  6. Let f, g and h be functions from R to R. Show that (f + g)oh = foh + g...

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

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  8. Find gof and fog, if f(x) = 8x^3 and g(x) = x^(1/3)

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  9. If f(x)=(4x-3)/(6x-4) ,x != 2/3 show that f@f(x) =xfor all x != 2/3.wh...

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  10. State with reason whether following functions have inverse: f: {1,2,3,...

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  11. State with reason whether following functions have inverse: g: {5,6,7,...

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  12. State with reason whether following functions have inverse: h: {2,3,4,...

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  13. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

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  14. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

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  15. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

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  16. Let f : X rarr Y be an invertible function. Show that the inverse of ...

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

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  18. Let f : R – {4/3}rarrR be a function defined as f (x) = 4x/(3x+4) T...

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  19. Determine whether or not each of the definition of '*' given below giv...

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  20. Determine whether or not each of the definition of '*' given below giv...

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