Home
Class 12
MATHS
f(x)=1/(1+x^(2)),(-oo,0)toR...

`f(x)=1/(1+x^(2)),(-oo,0)toR`

Text Solution

Verified by Experts

The correct Answer is:
one-one into
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise HLP_TYPE|42 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then fis (A) increasing in (0,pi) and decreasing in (-oo,0)(B) increasing in (-oo,0) and decreasing in (0,oo)(C) increasing in (-oo,oo) and (D) decreasing in (-oo,oo)

The function f(x)=(1)/(4)(3x^(2)+1) if -oo<=x<=1 and f(x)=5-4x if 1<=x<=4 and f(x)=4-x if 4<=x<=oo is:

If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)) , then f is

If f(x)=x+x/(1+x)+x/((1+x)^(2))+………….oo , then at x=0, f(x)

Let f be the function f(x)=cos x-(1-(x^(2))/(2))* Then f(x) is an increasing function in (0,oo)f(x) is a decreasing function in (-oo,oo)f(x) is an increasing function in (-oo,oo)f(x) is a decreasing function in (-oo,0)

Show that f(x)=(1)/(1+x^(2)) decreases in the interval [0,oo) and increases in the interval (-oo,0].

Show that f(x)=(1)/(1+x^(2)) decreases in the interval [0,oo) and increases in the interval (-oo,0].

If f(x)=(ln(1+x))/x, x in (-1,oo) and f(0)=1 then f(x) is

If e^(x)+e^(f(x))=e, then the range of f(x) is (-oo,1](b)(-oo,1)(1,oo)(d)[1,oo)

The function f(x)=(1)/(1+x^(2)) is decreasing in the interval (i)(-oo,-1)(ii)(-oo,0)(iii)(1,oo)(iv)(0,oo)

RESONANCE-RELATION, FUNCTION & ITF-SSP
  1. Find domain and range of following function: y=1/(sqrt(x^(2)-x))

    Text Solution

    |

  2. Following each of the following function find whether it is one-one o...

    Text Solution

    |

  3. f(x)=1/(1+x^(2)),(-oo,0)toR

    Text Solution

    |

  4. f(x)=x^(2)+lnx

    Text Solution

    |

  5. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  6. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  7. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  8. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  9. f(x)=e^x : R^+ ->R and g(x)=x^2-x : R->R Find domain and range of fog...

    Text Solution

    |

  10. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  11. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  12. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  13. Determine f^(-1)(x), if given function is invertible. f:(-oo,1)to(-o...

    Text Solution

    |

  14. Find the value of : cos[(pi)/3-"sin"^(-1)(-1/2)]

    Text Solution

    |

  15. Find the value of : cosec[sec^(-1)(sqrt(2))+cot^(-1)(1)]

    Text Solution

    |

  16. find domain of the following y=sec^(- 1)(x^2+3x+1)

    Text Solution

    |

  17. Find the domain of: y=sin^(-1)((x^(2))/(1+x^(2)))

    Text Solution

    |

  18. Find the domain of: y=cot^(-1)(sqrt(x^(2)-1))

    Text Solution

    |

  19. Range of f(x)=sin^(- 1)x+sec^(- 1)x is

    Text Solution

    |

  20. Find the range of sin^(-1)sqrt(x^(2)+x+1)

    Text Solution

    |