Quick inverse question

Stojakapimp

Platinum Member
Jun 28, 2002
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It's been a while since I've had to do inverses, so this may seem dumb

But what is the inverse of 1/(x-3)
 

TheChort

Diamond Member
May 20, 2003
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edit: i feel dumb
edit again: actually, i was right the first time, it is (x-3)/1
 

Stojakapimp

Platinum Member
Jun 28, 2002
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Originally posted by: Paul180
Inverse as ^-1 is just x-3

but the inverse is y=1/x+3

I'm not exactly sure which inverse it's supposed to be, but I do know that in the domain, x cannot equal 0. So why would that be?
 

MeanMeosh

Diamond Member
Apr 18, 2001
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inverse is just x-3 ... with x != 3

1/(x-3) = (x-3)^-1
inverse of that = ((x-3)^-1)^-1 = (x-3) ^ (-1 * -1) = x-3

however, the domain is all x, such that x != 3, since if x were 3, 1/(x-3) would be undefined)

if its just a simple prob, ignore the domain
 

TheChort

Diamond Member
May 20, 2003
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Originally posted by: Stojakapimp
Originally posted by: Paul180
Inverse as ^-1 is just x-3

but the inverse is y=1/x+3

I'm not exactly sure which inverse it's supposed to be, but I do know that in the domain, x cannot equal 0. So why would that be?

this would only happen if x is alone in the denomonator, which cant really happen here.

here's a link, CTRL F for "inverse"
 

dighn

Lifer
Aug 12, 2001
22,820
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Originally posted by: Stojakapimp
Originally posted by: Paul180
Inverse as ^-1 is just x-3

but the inverse is y=1/x+3

I'm not exactly sure which inverse it's supposed to be, but I do know that in the domain, x cannot equal 0. So why would that be?

x cannot equal to 0 means y cannot equal to 0 in the original equation

y = 1/(3-x)

if y is 0 you can't solve for x