Home
Class 12
MATHS
Find Domain of the following function : ...

Find Domain of the following function :
`f(x)=log_(x-4)(x^2-11x+24)`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Find Domain of the following function : f(x)=sin^(-1)(log_2(x^2/2))

Find Domain of the following function : f(x)=sqrt(log_0.4((x-1)/(x+5))

Find the domain of the following functions : f(x) =log_(100x).((2log_(10)x+2)/-x)

Find the inverse of the following function: f(x)=log_e(x+sqrt(x^2+1))

Find the domain of the following functions: f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x))

Find the domain of definitions of each of the following functions : f(x)=(x+2)/sqrt(x^2-x-2)

Find the inverse of the following function: f(x)=log_e(x^2+3x+1), x in [1,3]

Find the domain of the following functions: f(x)=sqrt(x-sqrt(1-x^2))

Find the domain of the following functions: f(x)=(x-3)/((x+3)sqrt(x^2-4))

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  2. Let f: R^+ ->R be a function which satisfies f(x)dotf(y)=f(x y)+2(1/x...

    Text Solution

    |

  3. Find Domain of the following function : f(x)=log(x-4)(x^2-11x+24)

    Text Solution

    |

  4. If g:[-2,2]rarrR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd functio...

    Text Solution

    |

  5. A continuous function f(x)onR->R satisfies the relation f(x)+f(2x+y)+5...

    Text Solution

    |

  6. Find the range of the following function f(x)=log2"((sinx-cosx+3sqrt2...

    Text Solution

    |

  7. Prove that f(x)gi v e nb yf(x+y)=f(x)+f(y)AAx in R is an odd function...

    Text Solution

    |

  8. If f(x)=sin([x]pi)/(x^2+x+1)where [.] denotes the greatest integer fu...

    Text Solution

    |

  9. Find the value of x in [-pi,pi] for which f(x)=sqrt((log)2(4sin^2x-2s...

    Text Solution

    |

  10. If f(x+y)=f(x)dotf(y) for all real x , ya n df(0)!=0, then prove that ...

    Text Solution

    |

  11. Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfie...

    Text Solution

    |

  12. Find the domain of f(x)=sqrt(x-4-2sqrt((x-5)))-sqrt(x-4+2sqrt((x-5)))

    Text Solution

    |

  13. Let f(x) be periodic and k be a positive real number such that f(x+k)+...

    Text Solution

    |

  14. Find the domain of the following functions: f(x)=(x-3)/((x+3)sqrt(x^2-...

    Text Solution

    |

  15. Let S be the set of all triangles and R^+ be the set of positive real ...

    Text Solution

    |

  16. Check whether the function defined by f(x+lambda)=1+sqrt(2f(x)-f^2(x))...

    Text Solution

    |

  17. Solve (x-1)^2(x+4)<0

    Text Solution

    |

  18. If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

    Text Solution

    |

  19. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  20. Solve x >sqrt((1-x))

    Text Solution

    |