Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By HallsofIvy

Thread: How would I solve the domain of the inverse for f(x) (given f(x)'s domain).

  1. #1
    Junior Member
    Joined
    Dec 2018
    From
    USA
    Posts
    25
    Thanks
    2

    How would I solve the domain of the inverse for f(x) (given f(x)'s domain).

    I have the equation f(x) = How would I solve the domain of the inverse for f(x) (given f(x)'s domain).-capture.jpg, and its domain is How would I solve the domain of the inverse for f(x) (given f(x)'s domain).-capture.jpg.

    I solved for its inverse, How would I solve the domain of the inverse for f(x) (given f(x)'s domain).-capture.jpg.

    The domain for f-1(x) is originally x is less than or equal to 3, but with f(x)'s given domain, how do I solve for the new domain of f-1(x)?

    Can someone guide me through the steps needed to solve such a problem?
    Attached Thumbnails Attached Thumbnails How would I solve the domain of the inverse for f(x) (given f(x)'s domain).-capture.jpg  
    Last edited by bossbasslol; Jan 15th 2019 at 04:25 PM. Reason: wrong inverse, woops!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    20,238
    Thanks
    3355

    Re: How would I solve the domain of the inverse for f(x) (given f(x)'s domain).

    The domain of $\displaystyle f^{-1}$ is the range of f. (Going from f to $\displaystyle f^{-1}$ swaps "domain" and "range".) f(0)= 6 and as x goes to infinity, f(x) goes to negative infinity. So the domain of $\displaystyle f^{-1}$ is all number less than or equal to 6.

    (The inverse function to $\displaystyle -x^2+ 6]$ is $\displaystyle \sqrt{-x+ 6}$, not $\displaystyle \sqrt{-x+ 3}$. Was that a typo?)
    Thanks from bossbasslol
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2018
    From
    USA
    Posts
    25
    Thanks
    2

    Re: How would I solve the domain of the inverse for f(x) (given f(x)'s domain).

    Thank you so much! And yes, that was a typo, sorry!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Domain of inverse function?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Mar 10th 2014, 04:03 PM
  2. Replies: 4
    Last Post: Apr 2nd 2012, 09:17 AM
  3. Domain/Range, and Inverse
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Jan 16th 2010, 11:55 PM
  4. inverse and the domain...
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Oct 26th 2009, 02:18 AM
  5. Inverse domain
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 16th 2008, 09:04 AM

/mathhelpforum @mathhelpforum