Home
Class 11
MATHS
Let A={x in R : x!=0,\ -4lt=xlt=4} and ...

Let `A={x in R : x!=0,\ -4lt=xlt=4}` and `f: A->R` be defined by `f(x)=(|x|)/x` for `x in Adot` Then` \ f` is a.`{-1, 1}` b. `(3//4,1]` c. `[3//4,1]` d. `(3//4,1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

Let A={x in R :-4lt=xlt=4 and x!=0} and f: A->R be defined by f(x)=(|x|)/x . Write the range of fdot

If f: R->R : x!=0,\ -4lt=xlt=4 and f: A->A be defined by f(x)=(|x|)/x for x in A . Then A is a. {1,-1} b. {x :0lt=xlt=4} c. {1} d. {x :-4lt=xlt=0}

Let f: R->R be defined by f(x)=x^4 , write f^(-1)(1) .

Let f: R-> R be the function defined by f(x)=4x−3 for all x in R . Then write f^-1 .

The function f: R-R is defined by f(x)=cos^2x+sin^4xforx in Rdot Then the range of f(x) is (3/4,1] (b) [3/4,1) (c) [3/4,1] (d) (3/4,1)

Let f: R->R be the function defined by f(x)=4x-3 for all x in R . Then write f^(-1) .

Let f: R->R be defined as f(x)=(2x-3)/4 . Write fof^(-1)(1) .

If f: R->R defined by f(x)=3x-4 is invertible then write f^(-1)(x) .

Let A=R-{3},B=R-{1}, and let f: A->B be defined by f(x)=(x-2)/(x-3) is f invertible? Explain.

The function f: R ⇒ R is defined by f(x)=cos^2x+sin^4x , r a n g e o f f(x)= (a) [3//4,1) (b) (3//4,1] (c) [3//4,1] (d) ( 3//4,1)

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Which of the following are function: {(x , y): y^2=x , x , y in R} b...

    Text Solution

    |

  2. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

    Text Solution

    |

  3. If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) ...

    Text Solution

    |

  4. If f(x)=cos((log)e x),\ t h e n\ f(1/x)f(1/y)-1/2{f(x y)+f(x/y)} is eq...

    Text Solution

    |

  5. Let A={x in R : x!=0,\ -4lt=xlt=4} and f: A->R be defined by f(x)=(|x...

    Text Solution

    |

  6. Let f(x)=x,g(x)=1/x and h(x)=f(x)g(x) . Then h(x)=1 for a.x in R b. x...

    Text Solution

    |

  7. If f: R->R : x!=0,\ -4lt=xlt=4 and f: A->A be defined by f(x)=(|x|)/x ...

    Text Solution

    |

  8. If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then...

    Text Solution

    |

  9. If f: [-2, 2] -> R is defined by f(x)={-1,for -2<=x<=0 , then x...

    Text Solution

    |

  10. If f(x)=64x^3+1/x^3 and alpha,beta are the roots of 4x+1/x=3. Then,val...

    Text Solution

    |

  11. The domain of the function f(x)=sqrt(2-2x-x^2) is [-sqrt(3),\ sqrt(3)]...

    Text Solution

    |

  12. The domain of the function f(x)=((x+1)(x-3))/(x-2) is a. [-1,2)uu[3,o...

    Text Solution

    |

  13. The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3...

    Text Solution

    |

  14. The domain of definition of the function f(x)=sqrt(x-1)+sqrt(3-x) is a...

    Text Solution

    |

  15. The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((...

    Text Solution

    |

  16. The domain of definition of the function f(x)="log"|x| is a.R b. (-o...

    Text Solution

    |

  17. The domain of definition of f(x)=x-3-2sqrt(x-4)-x-3+2sqrt(x-4) is a. ...

    Text Solution

    |

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

    Text Solution

    |

  19. The range of the function f(x)=(x+2)/(|x+2|),\ x!=-2 is {-1,1} b. {-1,...

    Text Solution

    |

  20. The range of the function f(x)=x/(|x|) is a.R-{0} b. R-{-1,1} c. {-1,1...

    Text Solution

    |