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Let A=R-{3},B=R-{1} " and " f:A rarr B d...

Let `A=R-{3},B=R-{1} " and " f:A rarr B` defined by `f(x)=(x-2)/(x-3)`. Is 'f' bijective? Give reasons.

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ML KHANNA-FUNCTIONS-PROBLEM SET (2)
  1. A mapping is defined as f:R to R. f (x) = cos x. Show that it is neit...

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  2. Let C be the set of complex numbers. Prove that the mapping f: C to R...

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  3. Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3). Is...

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  4. Let f: R to R be defined by f(x) = 3x + 4, X in R Is f invertible ? ...

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  5. The composite mapping fog, of the maps f: R to R, f (x)=sin x, g : R ...

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  6. Let A and B be two sets with a finite number of elements. Assume that ...

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  7. If f: R to R is defined by f (x)= x^2 + 1, then values of f^(-1) (17) ...

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  8. Which of the statements given below is different from the other?

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  9. Find the domain and range of f (x)= x^2 //(1+x^2)(x real). Is the func...

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  10. If A={x:-1 le x le 1} = B. Discuss the following functions w.r.t. one...

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  11. Set A has 3 elements and set B has 4 elements. The number of injection...

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  12. The number of surjections from A={1,2,... n}, n ge 2, onto B = {a,b} ...

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  13. Let A and B be two finite sets having m and n elements respectively. T...

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  14. The total number of injective mappings from a set with melements to a ...

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  15. Let A be a set containing 10 distinct elements, then the total number ...

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  16. If the mappings f : A to B and g: B to C are both bijective, then th...

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  17. Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E...

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  18. Let A = {0,1} and N the set of all natural numbers. Then the mapping ...

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  19. Let f be an injective map with domain {x,y,z) and range {1,2,3} such t...

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  20. Let R= {(3, 3),(6,6), (9,9), (12, 12),(6, 12),(3,9), (3, 12), (3, 6)} ...

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