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If f: RR->RR be defined as follows: f(x...

If `f: RR->RR` be defined as follows: `f(x)={1,\ if\ x in QQ, -1,\ if\ x !in QQ` Find: `f(1//2),f(pi),\ f(sqrt(2))`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){10 , 37}

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  2. Let f" "=" "{(1,1)," "(2," "3)," "(0, -1)," "(-1," "-3)} be a function...

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  3. If f: RR->RR be defined as follows: f(x)={1,\ if\ x in QQ, -1,\ if\...

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  4. If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in ...

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  5. Define a  function as a set of ordered pairs.

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  6. Define a function as a correspondence between two sets.

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  7. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

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  8. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

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  9. If a function f: R->R be defined by f(x)={3x-2,\ x<0 1, x=0 4x+1, x >0...

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  10. A function f: R->R is defined by f(x)=x^2dot Determine Range of f ii....

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  11. Let f: R^+ -> R where R^+ is the set of all positive real numbers, be ...

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  12. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

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  13. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

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  14. Write the following relations as sets of ordered pairs and find which ...

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  15. Write the following relations as sets of ordered pairs and find which ...

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  16. Write the following relations as sets of ordered pairs and find which ...

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  17. If f,g,\ h are three functions defined from R\ to\ R as follows: Find ...

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  18. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

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  19. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

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  20. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

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