anonymous
  • anonymous
Find the inverse f(x)=(x+3)/(x-2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
so first switch x and y
anonymous
  • anonymous
x=(y+3)/(y-2)
anonymous
  • anonymous
so after that you can cross multiply to get rid of the denominator

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anonymous
  • anonymous
which gives you x(y-2)=(y+3)
anonymous
  • anonymous
so now what step do you think you could take to isolate y
anonymous
  • anonymous
distribute the x(y-2)
anonymous
  • anonymous
yes
anonymous
  • anonymous
so then you have xy-2x=y+3
anonymous
  • anonymous
you can add the 2x and then subtract y to get xy-y=2x+3
anonymous
  • anonymous
now what do you think is the next step?
anonymous
  • anonymous
@recon14193 my computer lagged, i'm back
anonymous
  • anonymous
divide by x
anonymous
  • anonymous
y=(2x+3)/(x-1)
anonymous
  • anonymous
well you go the right answer but youre not diving by x you are factoring out y so that you have y(x-1)=2x+3
anonymous
  • anonymous
and then you divide by x-1 to get you had stated before
anonymous
  • anonymous
thanks

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