Domain of Rational Functions...1

Discussion in 'Algebra' started by nycmathguy, Sep 24, 2021.

  1. nycmathguy

    nycmathguy

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    Before returning to Section 2.6, I need to be clear on finding the domain of rational functions.

    Find domain of f(x) = (2x - 4)/(5x - 10).

    Let me see. To my understanding, tofind the domain of f, I set the denominator equal to 0 and solvefor x. Yes?

    5x - 10 = 0

    5x = 10

    x = 10/5

    x = 2

    Let R = all real numbers.

    Domain: R except x cannot be 2.

    How do I write the domain in interval and inequality notation?

    Thanks
     
    nycmathguy, Sep 24, 2021
    #1
  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Sep 24, 2021
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  3. nycmathguy

    nycmathguy

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    How do I write the domain in interval and inequality notation?
     
    nycmathguy, Sep 24, 2021
    #3
  4. nycmathguy

    MathLover1

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    Domain
    [​IMG]

    interval notation: (-infinity,2) U (2, infinity)
     
    MathLover1, Sep 24, 2021
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  5. nycmathguy

    nycmathguy

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    It's important for me to remember how to express the domain and range in interval and inequality notation.
     
    nycmathguy, Sep 24, 2021
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