Home
Class 11
MATHS
Find the range of f(x)=(x^2 + x +2)/(x^2...

Find the range of f(x)=`(x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty)`

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos

  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

Similar Questions

Explore conceptually related problems

Find the range of f(x)=(x^2)/(x^2+1)

Find the range of f(x)=(x^2-x+1)/(x^2+x+1)

Find the derivatives of "cos"^(-1)(1-x^(2))/(1+x^(2)) (0 lt x lt 1)

Find the range of the function f(x) = (sec^2x - tan x)/(sec^2 x + tan x) , (-pi/2 lt x lt pi/2) .

Find the values of x^2 for the given values of x. (i) x lt 2 (ii) x gt -1 (iii) x ge 2 (iv) x lt -1

If the function f(x)={(Ax-B ,, x le 1),(3x ,,1 lt x lt 2),(Bx^2-A ,, x ge 2):} is continuous at x=1 and discontinuous at x=2 , find the values of A and B .

Find the value of x^(2) for the given values of x. (i) x lt 3 (ii) x gt -1 (iii) x ge 2 (iv) x lt -1

If f(x)=sqrt((x-sinx)/(x+cos^2x)) , then lim_(x rarr infty)f(x) is

3x-2 lt 2x+1

PATHFINDER-FUNCTIONS-QUESTION BANK
  1. If 2f(x) - 3f(1/x) =x^2 (x ne 0), then find f(2).

    Text Solution

    |

  2. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

    Text Solution

    |

  3. Find the range of f(x)=(x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty...

    Text Solution

    |

  4. Find the domain of definition of the function f(x) = 1/sqrt(absx + x).

    Text Solution

    |

  5. If f : RrarrR such that f(x) = x - [x], where [p] denotes the greatest...

    Text Solution

    |

  6. Find the range of the function f(x) = x^2 + 1/(x^2 + 1).

    Text Solution

    |

  7. Find the range of the function phi where phi(x) = cos^-1 (x^2/(1 + x^2...

    Text Solution

    |

  8. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

    Text Solution

    |

  9. Find the range of the function y = log3 (5 + 4x - x^2).

    Text Solution

    |

  10. If f(x + y) = f(x) - f(y),forall x, y in R, then show that f(3) = f(1)

    Text Solution

    |

  11. Find the range of the function f(x) = (e^x - e^-x).

    Text Solution

    |

  12. Find the inverse function of the function f(x) = [4 - (x - 7)^3]^(1/5)...

    Text Solution

    |

  13. If f(x) =e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x), then find th...

    Text Solution

    |

  14. Find domain of the function f(x) = 2^sin^(-1)x + 1/sqrt(x - 2).

    Text Solution

    |

  15. Prove that the domain of g(x) =cot^-1 x/sqrt(x^2 - [x]) , x in R is R ...

    Text Solution

    |

  16. Find the range of the function y =1/(2 - cos 2x).

    Text Solution

    |

  17. Find the range of the function y = log2 (sin x + cos x + 3sqrt2)/sqrt2

    Text Solution

    |

  18. Find the value of x which f(x) = 1/sqrt(absx - x) is not defined.

    Text Solution

    |

  19. Find the range of y=x/(1 + x^2)

    Text Solution

    |

  20. If f(x) = cos(loge x), then find the value of f(x)cdot f(y) - 1/2[f(x/...

    Text Solution

    |