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anonymous

  • one year ago

f(x)=13/x-6 what is the domain of f

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  1. mathstudent55
    • one year ago
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    Oh, i see. you started a new post for this question.

  2. UsukiDoll
    • one year ago
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    the domain is the x-axis... but this time we have a restriction...

  3. mathstudent55
    • one year ago
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    Do you mean \(f(x) = \dfrac{13}{x - 6} \) ?

  4. UsukiDoll
    • one year ago
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    I'm sure that's right... because there is a restriction for that function..

  5. anonymous
    • one year ago
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    yes

  6. UsukiDoll
    • one year ago
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    for what value of x makes the entire function undefined ?

  7. mathstudent55
    • one year ago
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    The domain is the set of values that x can have. A fraction can never have a denominator of zero. If the denominator is x - 6, then x - 6 cannot be zero.

  8. UsukiDoll
    • one year ago
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    it's similar to solving x - 6 = 0

  9. mathstudent55
    • one year ago
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    To find what value makes the denominator zero, solve the simple equation: x - 6 = 0 What is x?

  10. UsukiDoll
    • one year ago
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    what do we need to do to have x by itself?

  11. anonymous
    • one year ago
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    0

  12. UsukiDoll
    • one year ago
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    no.. we are solving for x for x -6=0

  13. mathstudent55
    • one year ago
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    No. If x = 0, x - 6 = 0 - 6 = -6. That makes a denominator of -6 which is fine.

  14. mathstudent55
    • one year ago
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    How do you solve the equation x - 6 = 0 for x?

  15. UsukiDoll
    • one year ago
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    how do we get x by itself? there must be some arithmetic somewhere x-6=0

  16. mathstudent55
    • one year ago
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    Since you want to isolate x, and 6 is being subtracted from x, you add 6 to both sides.

  17. mathstudent55
    • one year ago
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    |dw:1434941520580:dw|

  18. mathstudent55
    • one year ago
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    What is x?

  19. UsukiDoll
    • one year ago
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    it's impossible to go further into this problem until we figure out what value of x makes the entire function undefined..

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