Results 1 to 2 of 2

Math Help - Finding the Values of G and G' Based on F and F'?

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    24

    Finding the Values of G and G' Based on F and F'?

    The functions f and g are differentiable, and f(g(x))=x for all x. If f(3)=8 and f'(3)=9, what are the values of g(8) and g'(8)?

    Does this have to do something with the derivatives of inverse functions? I'm not sure because it's f(g(x)). If it is just the derivative of inverse functions then I know what to do.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Apr 2009
    Posts
    166
    If f(g(x)) = x for all x and g(f(x)) = x for all x, than yes, the two are inverses.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: January 21st 2011, 05:55 PM
  2. to set values based on x values
    Posted in the Algebra Forum
    Replies: 0
    Last Post: June 11th 2010, 03:58 AM
  3. Replies: 3
    Last Post: March 5th 2010, 05:33 PM
  4. Finding extrema based on a function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 23rd 2009, 07:17 PM
  5. Finding Polynomials based on coefficients
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 5th 2009, 11:49 PM

Search Tags


/mathhelpforum @mathhelpforum