Home
Class 11
MATHS
Find the domain of each of the following...

Find the domain of each of the following real valued function: `f(x)=(x-1)/(x-3)`

Text Solution

Verified by Experts

Given,`f(x)=(x-1)/(x-3)`
When `x-3=0`
`x=3`
So,the domain is all values of x that make the expression defined.
Interval Notation: `(−oo,3)∪(3,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

Find the domain of each of the following real valued function: f(x)=1/(x+2)

Find the domain of each of the following real valued function: f(x)=(2x-3)/(x^2-3x+2)

Find the domain of each of the following real valued function: f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the domain and range of each of the following real valued function: f(x)=(x-2)/(2-x) .

Find the domain of the following real valued funcion: f(x)=log(x-[x])

Find the domain and range of each of the following real valued function: f(x)=(a x+b)/(b x-a) .

Find the domain and range of each of the following real valued function: f(x)=(a x-b)/(c x-d) .

Find the domain and range of each of the following real valued function: f(x)=sqrt(x-3) .

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

Find the domain of the range of each of the following real functions: f(x)=(1)/(x-5)

RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

    Text Solution

    |

  2. Find the domain of each of the following real valued function: f(x)=1/...

    Text Solution

    |

  3. Find the domain of each of the following real valued function: f(x)=(x...

    Text Solution

    |

  4. Find the domain of each of the following real valued function: f(x)=(2...

    Text Solution

    |

  5. Find the domain of each of the following real valued function: f(x)=(x...

    Text Solution

    |

  6. Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt...

    Text Solution

    |

  7. The range of the function f(x) = (x^2-9)/(x-3); x!=3 is

    Text Solution

    |

  8. The domain and range of the real function f defined by f(x)=(4-x)/(x-4...

    Text Solution

    |

  9. The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,...

    Text Solution

    |

  10. Let f ={(x ,(x^2)/(1+x^2)):x in R}be a function from R into R. Determi...

    Text Solution

    |

  11. Find the domain of each of the following real valued functions of real...

    Text Solution

    |

  12. Find the domain of each of the following real valued functions of real...

    Text Solution

    |

  13. Find the domain of each of the following real valued functions of real...

    Text Solution

    |

  14. Find the domain of each of the following real valued functions of real...

    Text Solution

    |

  15. Find the domain of the function f(x)" "=(x^2+2x+1)/(x^2-8x+12)

    Text Solution

    |

  16. Find the domain and range of each of the following real valued func...

    Text Solution

    |

  17. Find the domain and range of each of the following real valued func...

    Text Solution

    |

  18. Find the domain and the range of the real function f defined by f(x)=...

    Text Solution

    |

  19. Find the domain and range of each of the following real valued func...

    Text Solution

    |

  20. Find the domain and the range of the real function/defined by f(x)=|x...

    Text Solution

    |