anonymous
  • anonymous
inverse of 9x+3 over x+3?
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
swap x and y and solve for y
amistre64
  • amistre64
9x+3 y = ------ x+3 inverse is: 9y+3 x = ------ y+3 solve for "y" to get it looking "proper"
anonymous
  • anonymous
you know how to solve for \(y\)?

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anonymous
  • anonymous
multiply both side by y+3?
anonymous
  • anonymous
that is a good first step, yes \[x(y+3)=9y+3\] next step is to multiply out on the left of the equal sign
anonymous
  • anonymous
but then you are going to have xy?
amistre64
  • amistre64
xy is fine, its only a step in the process
amistre64
  • amistre64
xy + 3x = 9y + 3 get all the y parts to one side and everything else to the other so that we can factor out a common y
anonymous
  • anonymous
x(y+3)=3(y+1)
anonymous
  • anonymous
i mean 3(3y+1)
amistre64
  • amistre64
xy + 3x = 9y + 3 xy - 9y = 3 - 3x y(x - 9) = 3 - 3x and divide off the x-9

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