Home
Class 11
MATHS
The domain and range of the real functio...

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

Text Solution

Verified by Experts

Given,` f(x) = (4 - x)/(x - 4)`
Now for real value of `x-4!=0`
`x!=4`
Hence the domain of` f = R-{4}`
For range
` f(x) = (4 - x)/(x - 4)`
=` f(x) =- (x - 4)/(x - 4)`
=`f(x)=-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 the range of the real function f defined by f(x)=sqrt((x-1))

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

Find the domain and range of the real function defined by f(x) =(1)/((1-x^(2)).

Find the domain and the range of the real function defined by f(x)=sqrt(x-1)

Find the domain and range of the real function defined by f(x) = (x^(2))/((1+x^(2)) Show that f is many -one

Find the domain and the range of the real function/defined by f(x)=|x-1|

A function f has domain [-1,2] and rang [0,1]. Find the domain and range of the function g defined by g(x)=1-f(x+1)

Find the domain and the range of the real function, f(x)=(3-x)/(x-3) .

Find the domain and range of the real function f(x) = sqrt(4-x^(2))

Write the domain of the real function f defined by f(x)=sqrt(25-x^(2))

RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 the following real functions:(i) f(x)=-|x...

    Text Solution

    |

  18. Find the domain and range of the following real functions:(i) f(x)=-|x...

    Text Solution

    |

  19. Find the sum and difference of the identity function and the modulus...

    Text Solution

    |

  20. What are the sum and difference of the identity function and the recip...

    Text Solution

    |