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If f is a function from a set A to A, th...

If f is a function from a set A to A, then f is invertible iff f is

A

one-one

B

onto

C

both one-one and onto

D

none of these

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , ...

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  2. Let f: Rrarr R be defined as f(x) = 2x for all x in N , then f is

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  3. If f is a function from a set A to A, then f is invertible iff f is

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  4. Let f : R rarr R be defined by f(x) = 3x - 4, then f^-1 (x) =

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  5. Let f:[2, infty) to R be the function defined by f(x)=x^(2)-4x+5, then...

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  6. Let f : R rarr R be defined by f(x) = x^2 +1, then, f^-1(17) and f^-1 ...

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  7. Which of the following function from Z to itself are bijections?

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  8. Let f : R rarr R be the functions defined by f(X) = x^3 + 5, then f^-...

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  9. Let f : R - (3/5) rarr R be defined by f(X) = (3x+2)/(5x-3) , then

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  10. Let f : R rarr Rbe given byf(X) = tan x, then f^-1 (1) is

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  11. Let f:R rarr R be defined by f(x)={{:(2x, xgt3),(x^2,1lexlt3),(3x,xl...

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  12. Let f(x)=ax^(2)+bx+c where a,b,c epsilonR, a!=0. Suppose |f(x)|le1,AA ...

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  13. Which of the following functions is differentiable at x = 0 ?

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  14. Let f: RrarrR be defined f(x) = sin x and g: RrarrR be defined by g...

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

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  16. Let f : X rarr Y and g : Y rarr Z be two invertible functions. Then go...

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  17. Let f (x) = x^2 and g (x) = sqrtx, then

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  18. If f(x) = x+1 And g (X) = 2x, then f (g(x)) is equal to

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  19. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, wh...

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  20. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

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