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anonymous

  • one year ago

Identify the excluded value for the rational function. y=4x-1 PLEASE help me understand this!!!

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  1. SolomonZelman
    • one year ago
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    this function here, that you posted is a polynomial

  2. SolomonZelman
    • one year ago
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    that function includes any x-value in it's domain. It is continuous over \((-\infty,~+\infty)\)

  3. SolomonZelman
    • one year ago
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    there are no excluded x values in a polynomial.

  4. anonymous
    • one year ago
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    Are you sure because I have already tried answering this and I put 0, and it says that i'm wrong. The options are: 0, 1, 2, and 3.

  5. SolomonZelman
    • one year ago
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    you put y=4x-1, you see that, correct?

  6. SolomonZelman
    • one year ago
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    maybe it is \(\large\color{black}{ \displaystyle y=\frac{\rm something}{\rm another~~something } }\)

  7. anonymous
    • one year ago
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    ya it's y=4/x-1

  8. SolomonZelman
    • one year ago
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    oh, \(\large\color{black}{ \displaystyle y=\frac{4}{x-1} }\)

  9. SolomonZelman
    • one year ago
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    that is much better:)

  10. SolomonZelman
    • one year ago
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    what number can't you divide by, do you know?

  11. anonymous
    • one year ago
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    x?

  12. SolomonZelman
    • one year ago
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    4 ÷ what = undefined or indeterminate ?

  13. SolomonZelman
    • one year ago
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    you can divide by 1, you can divide by 3, you can divide by -0.0003, but you can NOT divide by 0. right?

  14. SolomonZelman
    • one year ago
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    you can divide by anything, but not by 0

  15. anonymous
    • one year ago
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    right

  16. SolomonZelman
    • one year ago
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    so, in your function \(\large\color{black}{ \displaystyle y=\frac{4}{x-1} }\) , there is one x-value that will not give you an adequate output, because you would need to divide by 0.

  17. SolomonZelman
    • one year ago
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    you are dividing by x-1. so, when (for what x-value) is this the same as dividing by 0 ?

  18. SolomonZelman
    • one year ago
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    (in other words, when "x-1" is equivalent to 0? when x=what ?)

  19. anonymous
    • one year ago
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    undefined?

  20. SolomonZelman
    • one year ago
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    ok, lets go about it in a different way...

  21. SolomonZelman
    • one year ago
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    you can't divde by 0, you know that?

  22. anonymous
    • one year ago
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    yes

  23. SolomonZelman
    • one year ago
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    in our case we are dividing 4 by "x-1", yes?

  24. SolomonZelman
    • one year ago
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    now, when dividing by x-1, is going to be the same thing as dividing by 0, that will give us an undefined result.

  25. SolomonZelman
    • one year ago
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    dividing by x-1 is same as dividing by 0, when x-1 is same as 0. there is one x-value for which x-1 is same as 0. x-1=0 when is x-1=0?

  26. anonymous
    • one year ago
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    idk

  27. SolomonZelman
    • one year ago
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    I tried my best, I apologize, but I don't think I can help you more. I am capable of you the answer, but I am not going to.

  28. SolomonZelman
    • one year ago
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    of giving you*

  29. SolomonZelman
    • one year ago
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    bye

  30. anonymous
    • one year ago
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    Well thanks anyway

  31. SolomonZelman
    • one year ago
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    -;( yw

  32. anonymous
    • one year ago
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    @SolomonZelman I think I am understanding this more. x-1=0 is 1-1=0 is this correct?

  33. anonymous
    • one year ago
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    So this would mean that the excluded value is 1 right? @SolomonZelman

  34. SolomonZelman
    • one year ago
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    yes, yes very good!

  35. SolomonZelman
    • one year ago
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    the excluded value is 1. x≠1

  36. SolomonZelman
    • one year ago
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    :)

  37. anonymous
    • one year ago
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    Thank you so much for helping!!

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