Home
Class 12
MATHS
Number of integers in domain of function...

Number of integers in domain of function `f(x) =log_(|x^2|)(4-|x|)+log_2{sqrt(x)}` is

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

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

Find the domain of the function : f(x)=sqrt(((log)_(0. 3)|x-2|)/(|x|))

Find the domain of definition of log_e.(2+x)/(2-x)

Domain of the function f (x)= (x)/(log _(e) (1+x)) is-

The number of points on the real line where the function f(x) = log_(|x^2-1|)|x-3| is not defined is

Find the domain of the function : f(x)=3/(4-x^2)+(log)_(10)(x^3-x)

Domain of the function, f(x)=[log_10 ((5x-x^2)/4)]^(1/2) is

Function f(x)=log(x^3+sqrt1+x^6) is

The domain of the function f(x)=1/(sqrt(4x-|x^2-10 x+9|)) is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Which of the following functions is/are bounded ? f(x)=(2x)/(1+x^2), [...

    Text Solution

    |

  2. The domain of the function f(x)=sqrt(10-sqrt(x^4-21 x^2)) is a. [5...

    Text Solution

    |

  3. Number of integers in domain of function f(x) =log(|x^2|)(4-|x|)+log2...

    Text Solution

    |

  4. Range of the function f(x)=sqrt(cos^(- 1)(sqrt(log4x))-pi/2)+sin^(- 1)...

    Text Solution

    |

  5. The range of the function tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R is ...

    Text Solution

    |

  6. The function f(x)=cos^(-1)((2[|sinx|+|cosx|])/(sin^2x+2sinx+11/4)) is ...

    Text Solution

    |

  7. Which of the folllowing functions are defined for all x (A) sin[x]+ ...

    Text Solution

    |

  8. The domain of the function f(x)=log(e){sgn(9-x^(2))}+sqrt([x]^(3)-4[x]...

    Text Solution

    |

  9. Number of integers in the range of f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x+1...

    Text Solution

    |

  10. If f(x) is an invertible function and g(x)=2f(x)+5, then the value of ...

    Text Solution

    |

  11. Which of the following functions is one-one ? (1)f:R->R defined as f...

    Text Solution

    |

  12. Which of the following statements are incorrect? I. If f(x) and g(x) a...

    Text Solution

    |

  13. Let f : R^+ ->{-1, 0, 1} defined by f(x) = sgn(x-x^4 + x^7-x^8-1) wher...

    Text Solution

    |

  14. Let f(x) :R->R,f(x)={(2x+alpha^2,xge2),((alpha x)/2+10,x lt 2)) If f(...

    Text Solution

    |

  15. Let f: R-> R, be defined as f(x) = e^(x^2)+ cos x, then f is (a) one-o...

    Text Solution

    |

  16. Let A be a non- empty set of real numbers and f:A->A be such that f(f(...

    Text Solution

    |

  17. Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) the...

    Text Solution

    |

  18. Let f:R->[1,oo) be defined as f(x)=log10(sqrt(3x^2-4x+k+1)+10) If f(x)...

    Text Solution

    |

  19. Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Th...

    Text Solution

    |

  20. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |