Matematika

Pertanyaan

Diketahui f(x) = 5x - 5 dan (fog) (x) = 5x^2 + 7 nilai g(√3) + f(-2) =

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  • (fog)(x) = 5x² + 7
    f(g(x)) = 5x² + 7
    5(g(x)) - 5 = 5x² + 7
    5(g(x)) = 5x² + 7 + 5
    5(g(x)) = 5x² + 12
    g(x) = 5x² + 12/5
    g(x) = x² + 2,4

    g(√3) = (√3)² + 2,4
    g(√3) = 3 + 2,4
    g(√3) = 5,4

    f(-2) = 5(-2) - 5
    f(-2) = -10 - 5
    f(-2) = -15

    g(√3) + f(-2) = 5,4 + (-15) = -9,6

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