Home
Class 11
MATHS
Find the domain of the following. f(x)...

Find the domain of the following.
`f(x)=(x^2+2x+1)/(x^2-8x+12)`

Text Solution

Verified by Experts

`f(x)=x^2+2 x+1/x^2-8 x+12=x^2+2 x+1/(x-6)(x-2)`
The function `f` is defined for all real numbers except `x=6` and `x=2`.
Hence thé domain. of `f` is `R-{2,6}`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|89 Videos
  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

Similar Questions

Explore conceptually related problems

Find the domain of the following. f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the domain of the function f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the domain of the function f(x)=sqrt (16-x^2)

Find the range of the function f(x)=(1+x^2)/(x^2)

The domain of the function f(x)=1/(x-1) is…….

Find the point of discontinuity, if any of the following functions f(x)={((x^2-1)/(x-1), if, x ne 1),( 2, if, x=1):}

Find the domain of the function f(x) = sin^(-1)(log_(2)x)

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
  1. The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x l...

    Text Solution

    |

  2. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

    Text Solution

    |

  3. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

    Text Solution

    |

  4. Find the domain and range of the following functions. f(x)=sqrt(x-...

    Text Solution

    |

  5. Find the domain and range of the following functions. f(x)=abs[x-1]

    Text Solution

    |

  6. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

    Text Solution

    |

  7. Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2...

    Text Solution

    |

  8. Let f = {(1,1), (2,3),(0, -1), (- 1, - 3)} be a function from Z to Z d...

    Text Solution

    |

  9. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

    Text Solution

    |

  10. Let A = {1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5),(2,9),(3,1),(4...

    Text Solution

    |

  11. Let f be the subset of Z xx Z defined by f = {(ab, a + b) : a,b in Z} ...

    Text Solution

    |

  12. Let A = {9,10,11,12,13} and let f : A rarr N be defined by f (n) = the...

    Text Solution

    |

  13. A relation R is defined on the set Z of integers as follows.R ={ (x, y...

    Text Solution

    |

  14. Let A={1 ,2,3,4,5} and B={1,2,3, ... ., 6,7} . If R be a relation from...

    Text Solution

    |

  15. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

    Text Solution

    |

  16. Let R be the relation on the set Z of all integers defined by R={(x, y...

    Text Solution

    |

  17. Let f be defined by f(x)=x-4 and g be defined by g(x)=(x^2-16)/(x+4), ...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the domain and range of the following functions: i)f(x)=1/(sqrt(x...

    Text Solution

    |

  20. Let f and g be two real functions defined by f(x)=1/(x+4) and g(x)=(x+...

    Text Solution

    |