Recent content by Poset

  1. P

    Longtime lurker here, composite function problem

    Nice I just got this. Thank you all for your help g(x) = sqrt((10-x)/(7-x)) I spent this entire time trying to figure this out. I really couldn't find any similar examples on the internet.
  2. P

    Longtime lurker here, composite function problem

    Thank you for your reply. Am I right to assume that the calculations to g(h(x)) I did are correct? And what you are implying is that to get g(x) I need to go backwards from h(x) using the inverse of g(h(x)) and y = h(x) = 3x+1? I'm sorry it's not that obvious to me.
  3. P

    Longtime lurker here, composite function problem

    Homework Statement Let f(g(h(x))) = 1/(2-x) Find g(x) if: f(x) = (x^2) - 1 h(x) = 3x+12. The attempt at a solution This is what I have: g(h(x))^2 -1 = 1/(2-x) g(h(x) = sqrt((3-x)/(2-x)) I'm not sure how to get the h(x) out of this to leave me with just g(x). Please point me in the right...
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