Home
Class 12
MATHS
If f(x)=(sin^2x+4sinx+5)/(2sin^2x+8sinx+...

If `f(x)=(sin^2x+4sinx+5)/(2sin^2x+8sinx+8)` then range of `f(x)` is

Text Solution

Verified by Experts

The correct Answer is:
`[5/9,1]`

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE MAIN|15 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

If f(x)=(sin^(2)x+4sin x+5)/(2sin^(2)x+8sin x+8) then range of f(x) is

If f(x) = (sin^2x + 4sinx + 5)/(2 sin ^2x + 8 sin x + 8) , then range of f(x) is

Find the range of f(x) =8/(sinx+3)

Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2+ sinx] Then , the range of f(x) is

The range of f(x)=cosx-sinx is

If f(x)= sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where [*] denotes greatest integer function)

f(x)=sinx+int_(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The range of f(x) is

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. Find the domain and range of the following function: f(x)=log([x-1])...

    Text Solution

    |

  2. Find the domain and range of the following function: f(x)=tan^(-1)(s...

    Text Solution

    |

  3. If f(x)=(sin^2x+4sinx+5)/(2sin^2x+8sinx+8) then range of f(x) is

    Text Solution

    |

  4. Find range of the function f(x)=log(2)[3x-[x+[x+[x]]]] (where [.] is...

    Text Solution

    |

  5. If f(x)=1/(x^(2)+1) and g(x)=sinpix+8{x/2} where {.} denotes fractiona...

    Text Solution

    |

  6. If the range of the function f(x)={x/4}+cospi(((1-2[x]))/2)="sin"((pi[...

    Text Solution

    |

  7. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  8. Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)...

    Text Solution

    |

  9. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  10. Find the integral solutions to the equation [x][y]=x+y . Show that all...

    Text Solution

    |

  11. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

    Text Solution

    |

  12. Suppose X and Y are two sets and f:XtoY is a function. For a subset A ...

    Text Solution

    |

  13. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

    Text Solution

    |

  14. Let 0ltalpha,beta,gammalt(pi)/2 are the solutions of the equations cos...

    Text Solution

    |

  15. Let f(x)=(log)2(log)3(log)4(log)5(s in x+a^2)dot Find the set of value...

    Text Solution

    |

  16. tan^(-1)(tan theta)={(pi+theta,-(3pi)/2lt theta lt -(pi)/2),(theta , -...

    Text Solution

    |

  17. Express cot(cosec^(-1)x) as an algebraic function of x.

    Text Solution

    |

  18. Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1...

    Text Solution

    |

  19. If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x)...

    Text Solution

    |

  20. sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2)+y/(3sqrt2)-2)

    Text Solution

    |