eli123
inverse of 9x+3 over x+3?



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amistre64
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swap x and y and solve for y

amistre64
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9x+3
y = 
x+3
inverse is:
9y+3
x = 
y+3
solve for "y" to get it looking "proper"

anonymous
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you know how to solve for \(y\)?

eli123
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multiply both side by y+3?

anonymous
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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

eli123
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but then you are going to have xy?

amistre64
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xy is fine, its only a step in the process

amistre64
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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

eli123
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x(y+3)=3(y+1)

eli123
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i mean 3(3y+1)

amistre64
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xy + 3x = 9y + 3
xy  9y = 3  3x
y(x  9) = 3  3x
and divide off the x9