Home
Class 11
MATHS
Let f : R to R be defined as f(x) =(x^2-...

Let f : R to R be defined as f(x) =`(x^2-x+4)/(x^2+x+4)`. Then the range of the function f(x) is

A

[3/5,5/3]

B

(3/5,-5/3)

C

`(-infty,3/5)cup(5/3,infty)`

D

[-5/3,-3/5]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Let f:RR to RR be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of the function f(x) is____

Let f:RtoR be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4) . Then the range of the function f(x) is

Let f: R to R be defined as f(x) = e^("sgn "x)+ e^(x^(2)) . Then find the range of the function, and also indentify the type of the function : one-one or many-one.

Find the range of the function f(x)=x^2-2x-4.

Let f:RtoR be defined by f(x)=x/(1+x^2),x inR . Then the range of f is

Let f : R to R be defined as f (x) = x ^(4). Choose the correct answer.

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

If f:R to R be defined by f(x) =2x+sinx for x in R , then check the nature of the function.

Let f : R - {-(4)/(3) } to R be a function defined as f (x) = (4x )/( 3x +4). The inverse of f is the map g: Range f:Rto R {-(4)/(3)} given by

Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. The quadratic expression (2x+1)^2-px+qne0 for any real x if

    Text Solution

    |

  2. Given that x is a real number satisfying (5x^2-26x+5)/(3x^2-10x+3)lt0,...

    Text Solution

    |

  3. Let f : R to R be defined as f(x) =(x^2-x+4)/(x^2+x+4). Then the range...

    Text Solution

    |

  4. If 2 + i and sqrt5-2i are the roots of the equation (x^2+ax+b)(x^2+cx+...

    Text Solution

    |

  5. Which of the following is/are always false ?

    Text Solution

    |

  6. The quadratic equations p(x) =0 with real coefficients has purely imag...

    Text Solution

    |

  7. If a in R and the equation -3(x-[x]^2)+2(x-[x])+a^2=0 (where [x] denot...

    Text Solution

    |

  8. Let alpha and beta be the roots of equation px^2+qx+r=0,pne0. If p, q,...

    Text Solution

    |

  9. In a Delta ABC, tanA and tanB are roots of pq(x^2+1)=r^2x. Then DeltaA...

    Text Solution

    |

  10. If alpha,beta are the roots of the quadratic equation x^2+px+q=0, then...

    Text Solution

    |

  11. Let p,q be real numbers. If alpha is the root of x^2+3p^2x+5q^2=0, bet...

    Text Solution

    |

  12. Let alpha,beta be the roots of x^2-x-1=0 and Sn=alpha^n+beta^n, for al...

    Text Solution

    |

  13. If alpha,beta are the roots fo ax^2+bx+c=0 (ane0) and alpha+h, beta+h ...

    Text Solution

    |

  14. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

    Text Solution

    |

  15. If a, b and c are positive numbers in a G.P., then the roots of the qu...

    Text Solution

    |

  16. If the equation x^2+2x+3=0 and ax^2+bx+c=0 , a, b, c in R, have a comm...

    Text Solution

    |

  17. If alpha and beta are the roots of x^2-x+1=0,then the value of alpha^(...

    Text Solution

    |

  18. If alpha,beta are the roots of the quadratic equation x^2+ax+b=0, (bne...

    Text Solution

    |

  19. Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) ...

    Text Solution

    |

  20. If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and ...

    Text Solution

    |