Home
Class 11
MATHS
The range of the function f(x)=sqrt(5|x|...

The range of the function `f(x)=sqrt(5|x|-^2-6)` is
`a.(-3,\ -2)uu(2,3)` b. `[-3,-2)uu[2,3)` c. `[-3,-2]uu[2,3]` d. none of these

Text Solution

Verified by Experts

The domain of F is ` x in(−oo,2]uu[3,oo).`
For the range of F, we know that the square root
function returns non-negative numbers
so we know that the range of F is `yin[0,oo).`
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos
  • GEOMETRIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|255 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=sqrt(5|x|-x^2-6) is (a) (-3,\ -2)uu(2,3) b. [-3,-2)uu[2,3) c. [-3,-2]uu[2,3] d. none of these

The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3,oo) b. (-1,2)uu[3,oo) c. [-1,2]uu[3,oo) d. none of these

The domain of the function f(x)=((x+1)(x-3))/(x-2) is [-1,2)uu[3,oo) b. (-oo,-3)uu(2,5) c. (-oo,-3]uu[2,5] d. none of these

The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (-oo,-3]uu(2,5) (b) (-oo,-3)uu(2,5)(c)(-oo,-3]uu[2,5](d) none of these

The domain of the function f(x)=sqrt(log(|x|-1))(x^(2)+4x+4) is (a) (-3,-1)uu(1,2)(b)(-2,-1)uu(2,oo) (d) none of these (d)none of these

The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x)) is (-oo,-2]uu[2,oo) b. [-1,1] c. varphi d. none of these

Complete solution set of the inequation (x^(2)-1)(x^(2)-6x+8)>=0 is x in[-1,1]uu[2,4]x in(-oo,-1)uu[1,2]uu[4,oo]x in[-1,2]uu[4,oo](d) none of these

Solution set of |x^2-4|lt=5-|x^2-9| is [-3,3] (2) [-3,-2]uu[2,3] [-2,2]uu[3,4] (4) [-2,4]

The domain of the function f:R rarr R defined by f(x)=sqrt(x^(2)-3x+2) is (-oo,a]uu[b,oo) then b-a

The domain of the function f(x)=(sin^(-1)(3-x))/(In(x)-2))is[2,4](b)(2,3)uu(3,4](c)(0,1)uu(1,oo)(d)(-oo,-3)uu(2,oo)

RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. If e^(f(x))=(10+x)/(10-x),x in (-10 ,10)and f(x)=kf((200 x)/(100+x^2))...

    Text Solution

    |

  2. The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (-oo,-3]u...

    Text Solution

    |

  3. The range of the function f(x)=sqrt(5|x|-^2-6) is a.(-3,\ -2)uu(2,3) ...

    Text Solution

    |

  4. If f: RvecR be given by f(x)=(4^x)/(4^x+2) for all x in Rdot Then,...

    Text Solution

    |

  5. If f(x)=sin[pi^2]x+sin[-pi^2]x, where [x] denotes the greatest integer...

    Text Solution

    |

  6. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

    Text Solution

    |

  7. If y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot

    Text Solution

    |

  8. If f(x)=(x-1)/(x+1),x!=-1, . then show that f(f(x))=-1/x , prove that ...

    Text Solution

    |

  9. Express the function f: XvecR given by f(x)=x^3+1 as set of ordered pa...

    Text Solution

    |

  10. If f(x)=x+1/x , prove that [f(x)]^3=f(x^3)+3f(1/x)dot .

    Text Solution

    |

  11. Let f: RvecRa n dg: CvecC be two functions defined as f(x)=x^2a n dg(x...

    Text Solution

    |

  12. Let A={12 ,13 ,14 ,15 ,16 ,17}a n df: AvecZ be function given by f(x)=...

    Text Solution

    |

  13. Find the domain of each of the following functions given by f(x)=1/(sq...

    Text Solution

    |

  14. Find the domain of definition of the following f(x) given by f(x)=log4...

    Text Solution

    |

  15. Find the domain of definition of the function f(x) given by f(x)=1/(lo...

    Text Solution

    |

  16. Find the range of each of the following functions: f(x)=|x-3| f(x)...

    Text Solution

    |

  17. Find the sum and product of identity function and the modulus function...

    Text Solution

    |

  18. If f(x)=1/(1-x) , show thatf[f{f(x)}]=xdot

    Text Solution

    |

  19. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

    Text Solution

    |

  20. Find the domain of the real function f(x) defined by f(x)=sqrt((1-|x|)...

    Text Solution

    |