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If A = (a,b), then the number of binary ...

If A = (a,b), then the number of binary operations that can be defined on A is

A

4

B

2

C

16

D

1

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
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  3. Which of the following function from Z to itself are bijections?

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

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

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

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

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

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

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

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

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  19. If A = (a,b), then the number of binary operations that can be defined...

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  20. Let * be the binary operation defined on R by a * b = 1 + ab for all a...

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