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anonymous

  • one year ago

For what value of x is the rational expression below defined? 2(x)+4/x-7 ? 7 2 -7 -2

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  1. anonymous
    • one year ago
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    @JackJordan

  2. anonymous
    • one year ago
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    @hartnn

  3. hartnn
    • one year ago
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    defined? or not defined ?

  4. hartnn
    • one year ago
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    because there is only one value where that fraction is undefined and it will be defined for all other values of x

  5. anonymous
    • one year ago
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    undefined. sorry AGAIN!! haha XD

  6. hartnn
    • one year ago
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    so it'll be undefined when the denominator equals 0 ! :)

  7. hartnn
    • one year ago
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    when is x-7 =0 ?? for what value of x ?

  8. anonymous
    • one year ago
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    so just 7. haha

  9. hartnn
    • one year ago
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    excellent! \(\huge \checkmark \)

  10. anonymous
    • one year ago
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    but what does undefined mean and how does that make a role in the question

  11. hartnn
    • one year ago
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    what is the value of say 1/0 ?? or can any number be divided by 0 ?

  12. hartnn
    • one year ago
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    we haven't defined what we get as a result of 'division by 0'. hence in any expression, when we get a denominator as = 0 , we say its undefined.. in your question the denominator was x-7

  13. anonymous
    • one year ago
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    OH. hahah got it;)

  14. anonymous
    • one year ago
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    Darn it I missed the question... as for undefined numbers.... the reason division by zero is undefined is because you can fit an arbitrary number of 0s into a number. Infinite if you like, and still not get close to it. So dividing by zero outputs a set... which is another kind of construct all together... :O

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