The reciprocal of -1/x at x=0 doesn't even exist since -1/x isn't even defined at all at 0.
2007-10-05 12:42:43
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answer #1
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answered by J Bareil 4
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A reciprocal is the inverse of a number. The multiplication of which is always equal to 1.
Example; 2/3 the reciprocal is 3/2
2/3x3/2=6/6=1
5 the reciprocal is 1/5
5/1x1/5=/55=1
You have -1/x If x =0 Then you have -1/0. There is no such thing as division by 0. It is considered undefined.
The reciprocal would be 0/-1. -1/0x0/-1=0/0 =0 (answer must be 1 for them to be reciprocal. There is no answer.
2007-10-05 12:40:00
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answer #2
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answered by Ed S 4
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The reciprocal of -1/x = x/-1 if x does NOT equal 0
However, -1/x has no reciprocal if x = 0.
A number times its reciprocal = 1
If x = 0 then (-1/x)(x/-1) = (-1/0)(0/-1) = 0/0 which
does NOT equal 1, since 0/0 is undefined.
2007-10-05 12:46:15
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answer #3
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answered by Marvin 4
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Hey there!
The reciprocal of -1/x is -x. If x=0, then the reciprocal of -1/0 is -0/1 i.e. 0. It is the same as saying that the reciprocal of infinity is 0.
Hope it helps!
2007-10-05 13:05:16
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answer #4
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answered by ? 6
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Well the reciprocal of any fraction is to switch the numerator with the denominator:
Say if you have (A/B), its reciprocal is simply (B/A):
In your case i think the question says x cannot equal 0, with the not equal sign being, = with a slash through it,
It says that x=0, because (-1/0) is undefined since you can't divide by zero, so the answer is:
(x/-1)
2007-10-05 12:41:35
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answer #5
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answered by NBL 6
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Reciprocal of a fraction means that same number with the numerator being the denominator and the denominator being the numerator, as in y/x is the reciprocal of x/y.
Reciprocal of -1/x = x/-1, and since any number divided by 1 is equal to that number, then the reciprocal becomes -x.
Note that x/-1 is also similar to -x/1; Also, when multiplying or dividing numbers with different signs, the answer is always a negative (-); with same signs, the answer is always positive.
Hope this helps :)
2007-10-05 13:07:55
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answer #6
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answered by mitzbitz 2
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The reciprocal of -1/x = -x
2007-10-05 12:34:56
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answer #7
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answered by Anonymous
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Reciprocal Of X
2016-11-16 17:04:54
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answer #8
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answered by ? 4
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Technically -1/x is not defined as x=0
but -x/1 = 0 of x = 0
2007-10-05 12:36:15
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answer #9
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answered by Monah 3
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Reciprocal value of a number A is B if A*B=1
With fractions it's easy to get a reciprocal value, you just invert the fraction.
In your case that would be
A=-1/x
B=1/(-1/x) => x/-1 => -x
Hence reciprocal of -1/x i -x ;)
2007-10-05 12:38:41
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answer #10
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answered by Alderon 2
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