Home
Class 14
MATHS
Let R rarr R be a function defined as f...

Let `R rarr R` be a function defined as f(x) = |x| for each `x in R` . - being the set of real numbers. Which ne of the following is correct?

A

Both the statements are true and statement Il is the correct explanation of statement I

B

Both the statements are true and statement Il is not the courect explanation of statemneit I

C

Statement l is true but statement ll is false

D

Statement I is false but statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |74 Videos
  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos
  • HEIGHT & DISTANCE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos

Similar Questions

Explore conceptually related problems

Let f:RtoR be a function defined as f(x)=x|x|, for each x""inR,R being the set of real numbers. Which one of the following is correct?

If f be a function defined as f(x) = p for each x in R , where p is a real number, then f is called

Let f:R rarr R be the function defined by f(x)=4x-3 for all x in R. Then write f^(-1) .

Let f:R rarr R be a function defined by f(x)=x+sqrt(x^(2)), then fis

Let f:R rarr R be a function defined by f(x)=|x] for all x in R and let A=[0,1) then f^(-1)(A) equals

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

The function f:R rarr R defined as f(x) = x^3 is:

PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. The domain of the function f(x)=(1)/(sqrt(x^(2)-3x+2)) is

    Text Solution

    |

  2. f(xy) = f(x) + f(y) is true for all

    Text Solution

    |

  3. Let R rarr R be a function defined as f(x) = |x| for each x in R . - ...

    Text Solution

    |

  4. If f: R rarr -R. g : R rarr R be two functions given by f(x) = 2x-3 an...

    Text Solution

    |

  5. Find the derivatives of the following (1-3) functions : f(x) = x+a

    Text Solution

    |

  6. If f(x) =(4x+x^(4))/(1+4x^(3)) and g(x) = In (1+x)/(1-x) t then what...

    Text Solution

    |

  7. Let f(x)=(1)/(1+|x|); x in R the range of f is

    Text Solution

    |

  8. The function f N rarr N. where N being the set of natural numbers, def...

    Text Solution

    |

  9. If f(x)=(x-1)/(x+1), then find f{f(x)}

    Text Solution

    |

  10. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

    Text Solution

    |

  11. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

    Text Solution

    |

  12. Let f(x) = ax + b and g(x)= cx+ d. Then f (g(x)) = g (fex) is equivale...

    Text Solution

    |

  13. The average of all the non negative integers upto 99 is:

    Text Solution

    |

  14. If f be a function from the set of natural numbers to the set of even ...

    Text Solution

    |

  15. What is the range of the function f(x)=(|x|)/(x), x ne 0?

    Text Solution

    |

  16. Let N be the set of natural numbers and f: N rarr N be a function give...

    Text Solution

    |

  17. If f.R rarrR be a function whose inverse is (x+5)/(3) what is the val...

    Text Solution

    |

  18. Consider the following statement: I If f(x)=x^(3) and g(y)=y^(3) then...

    Text Solution

    |

  19. IF 6 le x le 8 then which one of the following is correct

    Text Solution

    |

  20. If f(xy) = f(x)f(y), then f(t) may be of the form

    Text Solution

    |