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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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    |dw:1438186410074:dw|

  2. anonymous
    • one year ago
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    please help

  3. welshfella
    • one year ago
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    (x - 6)(x + 3)( x + 4) ----------------- (x + 6)(x - 3)(x - 4)

  4. anonymous
    • one year ago
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    Angie is right.

  5. welshfella
    • one year ago
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    if x = -6 what do you think the value of the denominator is?

  6. welshfella
    • one year ago
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    (-6 + 6)(x - 3)(x - 4) = 0(x + 3)(x - 4)

  7. anonymous
    • one year ago
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    Any of the 3 values subbed in will give you a divide by 0 situation.

  8. welshfella
    • one year ago
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    do you follow that @CUTIEPIEI37/

  9. anonymous
    • one year ago
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    umm kind of

  10. welshfella
    • one year ago
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    if we any of the factors are 0 it will make the whole demnominator = 0

  11. anonymous
    • one year ago
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    oh ok so then the whole function is zero

  12. welshfella
    • one year ago
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    if x = -3 then we have (x + 6) * 0 * (x + 4) = 0

  13. anonymous
    • one year ago
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    Anything divide by zero is undefined.

  14. welshfella
    • one year ago
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    no only the denominator but dividing by zero doesn't make sense so we say the value of the function is indeterminate

  15. welshfella
    • one year ago
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    - or undefined

  16. anonymous
    • one year ago
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    oh ok

  17. anonymous
    • one year ago
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    Using limit on it doesn't work either cause it diverges.

  18. welshfella
    • one year ago
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    5/0 for example does not make any sense - you add an infinite number of zeros together and thay;ll never make 5!!

  19. anonymous
    • one year ago
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    it wil still be undefined

  20. anonymous
    • one year ago
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    *will

  21. welshfella
    • one year ago
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    yep

  22. anonymous
    • one year ago
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    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.

  23. anonymous
    • one year ago
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    thank you you guys thank you so much i think i might be able to explain it thank you

  24. welshfella
    • one year ago
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    yw

  25. iseeunicorns
    • one year ago
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    @iwanttogotostanford hope this helps :))

  26. seb.cal
    • one year ago
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    @welshfella In your second comment, you wrote x = -6. did you make up that number? Or did you get it from solving anything?

  27. seb.cal
    • one year ago
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    @welshfella

  28. welshfella
    • one year ago
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    I chose it because it made (x +6) equal to zero

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