Basically we need to find the values where the denominator for each fraction equals 0 since division by 0 is impossible.
First fraction
(x^2 - 4x + 4) = 0
(x-2)(x-2) = 0
x = 2 This is double root.
Second fraction
(x^2 - 1) = 0
x = -1, 1
So the values where x is undefined is are
x = -1 x = 1 x = 2
2007-07-18 11:21:40
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answer #1
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answered by kousuke51 2
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x=2 or x=1 or x=-1
2007-07-18 11:19:42
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answer #2
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answered by gfulton57 4
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An expression is undefined when it would otherwise have to divide by zero.
[ (x^2 - 3x + 2)/(x^2 - 4x + 4) ] * [ (x^2 + x - 6)/(x^2 - 1) ]
[ (x^2 - 3x + 2) / (x-2)(x-2) ] * [ (x^2 + x - 6) / (x+1)(x-1) ]
So you get division by zero when x = 2, -1, or 1
If you tried simplifying this further, you get
[ (x-2)(x-1) / (x-2)(x-2) ] * [ (x-2)(x+3) / (x+1)(x-1) ]
[ (x-1) / (x-2) ] * [ (x-2)(x+3) / (x+1)(x-1) ]
[ (x-1) ] * [ (x+3) / (x+1)(x-1) ]
(x+3) / (x+1)
So if we're allowed to simplify the expression, it's only undefined for x= -1. We're not always allowed to do this though; it depends on the application and how the original function is defined.
2007-07-18 11:20:09
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answer #3
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answered by Anonymous
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x^2-4x+=(x-2)^2
x^2-1=(x+1)(x-1)
the expression is undefined when the denominator is zero. this gives:x=1,-1,2
For these values of x, the expression is undefined.
2007-07-18 11:35:29
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answer #4
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answered by Anonymous
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Whenever a denominator is 0
so +/-1 & +2
because the denominators factor to (x-2)^2, (x-1),(x+1)
the 3 values above all can cause any of the three quantities to = 0
2007-07-18 11:19:11
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answer #5
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answered by 037 G 6
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particular i could have faith it. it is how one might circulate approximately simplifying this equation. 5(-3x-2)-(x-3)= -4(4x+5)+a million (-15x-10)-x+3= (-16x-20)+a million -15x-10-x+3= -16x-20+a million -15x-x+16x= -20-3+a million+10 -16x+16x= -23+11 0 =/= -12 Yep, beneficial that it is -12 (neg. twelve) . a million) Multiply 5 by making use of each and every thing interior the parentheses. circulate around the (=) sign and multiply -4 by making use of each and every thing in that parentheses. 2) clean the parentheses 3) it is the equation without () 4) team like numbers and warning signs (x's with x's) (numbers w/ #) 5) Simplify answer 0 isn't equivalent to a -12
2016-12-14 12:55:58
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answer #6
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answered by ? 4
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