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If f:RR rarr RR is defined by f(x)=x-[x]...

If `f:RR rarr RR` is defined by `f(x)=x-[x] -(1)/(2)" for "x in RR`, where `[x]` is the greatest integer not exceeding x, then `{x in RR : f(x)=(1)/(2)}=`

A

Z the set of all integers

B

`NN` the set of all natural numbers

C

`cancel(O)` the empty set

D

`RR`

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
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  2. If f:[2, oo)rarrB defined by f(x)=x^(2)-4x+5 is a bijection, then B=

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  3. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

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  4. If f:RR rarr RR is defined by f(x)=[(x)/(2)] for x in RR, where [y] de...

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  5. A={1,2,3,4,5}, B={1, 4, 7, 10, 13}. If f from A into B defined by f(x)...

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  6. A={-1, 0, 2, 5, 6, 11}, B={2, -1, 1, 0, 11, 108} and f(x)=x^(2)-x-2, t...

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  7. A={-1,0, 1, 2}, B={2, 3, 6}. If f from A into B defined by f(x)=x^(2)+...

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  8. If A={1, 2, 3}, B={a, b, c, d}, f={(1, a), (2, b), (3, d)}, then f is

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  9. If A={a, b, c}, B={x, y}, f={(a, x), (b, y), (c, x)} then f is ………… ma...

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  10. A={a, b, c}, B={2, 1, 0}, f={(a, 2), (b, 0), (c, 2)}. Then f is

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  11. f and h are from A into B where A={a, b, c, d}, B={s, t, u} defined as...

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  12. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

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  13. The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)...

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  14. If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1), then f is

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  15. f: R^(+) to R defined by f(x) =2^(x) , x in (0,1), f(x) =3^(x), x in [...

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  16. If f(x)=|x-1|+|x-2|+|x-3| when 2 lt x lt 3 is

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  17. f:R rarrR defined by f(x)=e^(|x|) is

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  18. If RR rarrC is defined by f(x)=e^(2ix)" for x in RR then, f is (where ...

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  19. f(x)=(2^(|x|))/(sinx) is

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  20. If f(x)=(a^(2x)-a^(-2x))/(a^(2x)+a^(-2x)), then f(x) is

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