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If f(x)=x-[x], where [x] is the greatest...

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then `f(+1/2)` is:

A

1

B

0

C

`1/2`

D

`3/2`

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JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If f(x)=x-[x], where [x] is the greatest integer less than or equal to...

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  2. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

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  3. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

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  4. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(B-C)=(AxxB)-(A...

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  5. Let A={2,3}, B={1,2,3,4}. Verify that AxxA=(AxxB)cap(BxxA).

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  6. Find the domain of the function:f(x)=(x^2-3x+2)/(x^2+x-6)

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  7. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

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  8. Find the range of the following functions: f(x)=1+3 cos2x

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  9. Find the range of the following functions: f(x)=1-|x-2|

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  10. Find the range of the following functions: f(x)=3/(2-x^2).

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  11. Find the domain and range of the following real function:- f(x) = -|x...

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  12. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

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  13. Find the domain and range of the following functions: f(x)=sqrt(x-3)

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  14. Find the domain and range of the following functions: f(x)=|x-3|

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  15. If f(x)=(x-1)/(x+1), then show that f(1/x)=-f(x)

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  16. If f(x)=(x-1)/(x+1), then show that f(-1/x)=-1/f(x).

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  17. Domian of f(x)=1/sqrt(x+|x|) is

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  18. Find the domain of each of the following functions: x|x|

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  19. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

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  20. Find the domain of f(x)=1/sqrt(1-cosx)

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  21. Find the range of f(x)=1-|x-2|.

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