When looking at a rational function f of x equals the quantity x minus six times the quantity x plus three times the quantity x plus four all divided by the quantity x plus six times the quantity x minus three times the quantity x minus four, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = –6, x = 3, and x = 4. Angie says that the function is undefined at those x values. Who is correct? Justify your reasoning.

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When looking at a rational function f of x equals the quantity x minus six times the quantity x plus three times the quantity x plus four all divided by the quantity x plus six times the quantity x minus three times the quantity x minus four, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = –6, x = 3, and x = 4. Angie says that the function is undefined at those x values. Who is correct? Justify your reasoning.

Mathematics
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please help
(x - 6)(x + 3)( x + 4) ----------------- (x + 6)(x - 3)(x - 4)

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Other answers:

Angie is right.
if x = -6 what do you think the value of the denominator is?
(-6 + 6)(x - 3)(x - 4) = 0(x + 3)(x - 4)
Any of the 3 values subbed in will give you a divide by 0 situation.
do you follow that @CUTIEPIEI37/
umm kind of
if we any of the factors are 0 it will make the whole demnominator = 0
oh ok so then the whole function is zero
if x = -3 then we have (x + 6) * 0 * (x + 4) = 0
Anything divide by zero is undefined.
no only the denominator but dividing by zero doesn't make sense so we say the value of the function is indeterminate
- or undefined
oh ok
Using limit on it doesn't work either cause it diverges.
5/0 for example does not make any sense - you add an infinite number of zeros together and thay;ll never make 5!!
it wil still be undefined
*will
yep
As your denominator goes smaller, your answer gets larger and large towards infinity. For example: \[\frac{ 1 }{ 0.1 } = 10\] \[\frac{ 1 }{ 0.000001 } = 1000000\] You can see the pattern.
thank you you guys thank you so much i think i might be able to explain it thank you
yw
@iwanttogotostanford hope this helps :))
@welshfella In your second comment, you wrote x = -6. did you make up that number? Or did you get it from solving anything?
I chose it because it made (x +6) equal to zero

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