Home
Class 11
MATHS
Find the domain and range of each of the...

Find the domain and range of each of the following functions given by `f(x)=1-|x-3|`

Text Solution

Verified by Experts

`f(x)=1-abs(x-3)`
`abs(x-3)>=0`
`-abs(x-3)<=0`
`1-abs(x-3)<=1`
`y<=1`
Domain : ` x in R`
Range : `y in (-oo, 1]`
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

Find the domain and range of the following function f(x)=1/x

Find the domain the range of each of the following function: f(x)=x!

Find the domain and range of the following function f(x)=x^2+2

Find the domain and range of the following function f(x)=-absx

Find the domain of the range of each of the following real functions: f(x)=1-|x-2|

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

Find the domain and range of the following functions: (x-3)/(2-x)

Find the domain and the range of each of the functions given below. (i) f(x)=|x-1| (ii) g(x)=-|x|

Find the domain and range of each of the following functions f(x)=(x^(2)+x+1)/(x^(2)+4x+3)

Find the domain and range of the following function f(x)=abs(x-1)

RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. Find the domain and range of each of the following functions given by ...

    Text Solution

    |

  2. Find the domain and range of the function given by f(x)=1/(sqrt(x-[x])...

    Text Solution

    |

  3. Find the domain and range of each of the following functions given by ...

    Text Solution

    |

  4. Find the domain of the function f given by f(x)=1/(sqrt([x]^2-[x]-6))

    Text Solution

    |

  5. Let f(x)=2x +5 and g(x)=x^2+xdot Describe i. f+g ii. f-g iii. fg iv. f...

    Text Solution

    |

  6. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  7. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  8. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  9. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  10. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  11. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  12. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

    Text Solution

    |

  13. If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n...

    Text Solution

    |

  14. Let f, g : R -> R be defined, respectively by f(x)=x+1 ,g(x)=2x-3 . Fi...

    Text Solution

    |

  15. Le f:[0,\ oo)->R\ a n d\ g: R->R be defined by f(x)=sqrt(x) and g(x)=x...

    Text Solution

    |

  16. Let f(x)=x^2 and g(x)" "=" "2x" "+" "1 be two real functions....

    Text Solution

    |

  17. Write the range of the real function f(x)=|x|dot

    Text Solution

    |

  18. If f(x)=1-1/x then write the value of f(f(1/x))dot

    Text Solution

    |

  19. If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

    Text Solution

    |

  20. If f,\ g,\ h are real functions given by f(x)=x^2,g\ (x)=tanx\ a n d\ ...

    Text Solution

    |