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suss Group Title

find the domain y=f(x)=x^2-6x+6

  • one year ago
  • one year ago

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  1. hartnn Group Title
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    domain means the values which 'x' can take in that equation.

    • one year ago
  2. hartnn Group Title
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    do u see any values that 'x' can't take ?

    • one year ago
  3. suss Group Title
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    i dont get it......??

    • one year ago
  4. hartnn Group Title
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    (1)there is no denominator, if there was, then 'x' could not take values for which denominator=0

    • one year ago
  5. suss Group Title
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    so ther is no soln for this??

    • one year ago
  6. hartnn Group Title
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    (2) there is no \(\sqrt.\) sign, if there was , then 'x' cannot take values for which the expression under \(\sqrt{...}\)becomes negative.

    • one year ago
  7. hartnn Group Title
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    here, none of the 2 cases (1) or (2) arise. so 'x' can take all real values.

    • one year ago
  8. hartnn Group Title
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    so, domain is ALL real numbers R

    • one year ago
  9. hartnn Group Title
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    understood ?

    • one year ago
  10. suss Group Title
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    sorry i quite didnt get it

    • one year ago
  11. hartnn Group Title
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    which par ?

    • one year ago
  12. suss Group Title
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    x belongs to R then can we supoose any no we want in the place of x??

    • one year ago
  13. hartnn Group Title
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    yes, x can take any real value. u have options/choices ?

    • one year ago
  14. suss Group Title
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    how wud u solve this prob?

    • one year ago
  15. hartnn Group Title
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    example : f(x) =1/ x x cannot take value =0 f(x) = 1/(x-3) x cannot take value = 3 f(x) = sqrt{x-4} x cannot take value less than 4

    • one year ago
  16. suss Group Title
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    can u be mo` specific...?i cant understand

    • one year ago
  17. hartnn Group Title
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    i just gave u specific examples. and there's nothing to solve, you can say 'x' can take all real values...

    • one year ago
  18. suss Group Title
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    y did u add -3 in da denominator?

    • one year ago
  19. ParthKohli Group Title
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    By the way, all polynomials have the domain \((-\infty,\infty)\) a.k.a \(\mathbb{R}\).

    • one year ago
  20. suss Group Title
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    can u do the whole process??

    • one year ago
  21. BluFoot Group Title
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    Domain means whenever the function exists. To figure this out, just find when the function does not exist, meaning when you're dividing by 0. In this case, you're never dividing by 0, so the function ALWAYS exists, so the domain is ]-inf,inf[, also know as "R" for all real numbers. If say f(x) = 1/(x-4), then the domain is ]-inf,-4[U]-4,inf[, because the function exists everywhere except at x=-4.

    • one year ago
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