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Math Help - Evaluate

  1. #1
    Junior Member
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    Evaluate

    Given f(x) = cos x and g(x) = π/2, evaluate f(g(3)).
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    You don't even have to compose functions. Note that g(\alpha)=\frac\pi2 for every \alpha\in\mathbb R, so g(3)=\frac\pi2. Hence f\big(g(3)\big)=f\left(\frac\pi2\right)=0.
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