anonymous
  • anonymous
f(x)=(x-5)\(x+5) Find the inverse.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
to find the inverse of a function, dont you switch all the Ys and Xs and then solve for Y?
anonymous
  • anonymous
yes but i dont know how to solve (y-5)/(y+5)
anonymous
  • anonymous
-5(x+1)/(x-1)

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anonymous
  • anonymous
im pretty sure you need to solve for x first then switch Xs with Ys.. but i still dont know how to do that
anonymous
  • anonymous
y = (x-5)/(x+5) x = (y-5)/(y+5) x (y+5) = y - 5 xy + 5x = y - 5 xy - y = -5x - 5 y (x - 1) = -5(x+1) y = -5(x+1)/(x-1)
anonymous
  • anonymous
thank you
anonymous
  • anonymous
so i just cross multiply
anonymous
  • anonymous
indeed, cross multiply, distribute out all the terms, then collect the y terms on one side. factor out a y, and bring all the x's back to the other side. it's kinda like... start out with everything separate, mash it all together, then separate it all out again
anonymous
  • anonymous
got it.. u da man

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