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Math Help - Algebra of function

  1. #1
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    Algebra of function

    For each pair of functions, f and g, determine the domain of f + g

    f(x) = 3x + 7, g(x) =2/(x-5)

    Is this the same with finding (f + g)(x)?
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  2. #2
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    Quote Originally Posted by imperical56 View Post
    For each pair of functions, f and g, determine the domain of f + g

    f(x) = 3x + 7, g(x) =2/(x-5)

    Is this the same with finding (f + g)(x)?
    \text{dom} (f + g) = \text{dom} \, f \cap \text{dom} \, g.
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  3. #3
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    will this be the right answer?
    ( -œ, œ) U (-œ, 5) U (5, œ)

    where œ means infinity
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  4. #4
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    Quote Originally Posted by imperical56 View Post
    will this be the right answer?
    ( -, ) U (-, 5) U (5, )

    where means infinity
    No.

    It's (-, 5) U (5, ). Think about it.
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