Results 1 to 3 of 3

Math Help - Finding Domain without a calculator

  1. #1
    Newbie
    Joined
    Jul 2010
    From
    New Jersey
    Posts
    20

    Finding Domain without a calculator

    I know the answer is (0,2) U (2, infinity)

    f(x) = squareroot(4x-3)
    (x^2)-4

    Do you set the denominator to zero? I am not 100% sure.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by danielh9103 View Post
    I know the answer is (0,2) U (2, infinity)

    f(x) = squareroot(4x-3)
    (x^2)-4

    Do you set the denominator to zero? I am not 100% sure.
    \displaystyle f(x) = \frac{\sqrt{4x-3}}{x^2-4}

    Are you sure it's not \displaystyle \left[\frac{3}{4},2\right)\cup (2,\infty)?

    You are on the right track; set the denominator to zero because when it is zero, f is undefined (so exclude any such x from the domain). Also, solve 4x-3<0 because that will make \sqrt{4x-3} non-real.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27
    You are on the right track x^2-4\neq 0 and 4x-3>0
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: May 6th 2012, 02:16 PM
  2. Replies: 10
    Last Post: December 8th 2011, 10:27 AM
  3. Finding range of ln equation. Without calculator
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: July 30th 2010, 11:46 AM
  4. Replies: 3
    Last Post: May 2nd 2010, 09:20 PM
  5. Finding Max and Min on Scientific Calculator
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 5th 2009, 06:16 AM

Search Tags


/mathhelpforum @mathhelpforum