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Math Help - Function inequality

  1. #1
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    Question Function inequality

    Solve the following inequality for the given function f(x):

    f(x) = (x^2 + 1)(-2 - 3x^2)

    a. f(x) > 0
    b. f(x) ≥ 0
    c. f(x) < 0
    d. f(x) ≤ 0

    Thank you for any help, I appreciate it!
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  2. #2
    MHF Contributor
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    Here is a hint
    x+1 > 0 for all x real
    3x + 2 > 0 for all x real
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  3. #3
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    Do I graph the function and take the answers from the graph?
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  4. #4
    Math Engineering Student
    Krizalid's Avatar
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    No 'cause running-gag's hint is the best hint you'd ever get.

    f is -\left( x^{2}+1 \right)\left( 3x^{2}+2 \right), and those factors are always positive, hence f<0 for all x.
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