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Math Help - The domain

  1. #1
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    The domain

    Find the domain of the function:

    a. f(x) = 1/x + 1/x+1

    b. g(x) = (2x^2 +5x +3)/ ( 2x^2 -5x -3)

    c. h(x) = ((4-x)^1/2 + ( x^2 - 1)^1/2 )) / x-2
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  2. #2
    MHF Contributor red_dog's Avatar
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    a) x\neq 0, \ x\neq -1\Rightarrow D=\mathbf{R}-\{-1,0\}

    b) 2x^2-5x-3\neq 0\Rightarrow x\neq -\frac{1}{2}, \ x\neq 3

    c) \left\{\begin{array}{ll}4-x\geq 0\\x^2-1\geq 0\\x-2\neq 0\end{array}\right.

    Find x.
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