Matematika

Pertanyaan


Dik:
[tex]f(x) = x + 1 \\ g(x) = {x}^{2} + kx \\ (gof)(3) = 24[/tex]
Dit: tentukan nilai k...

1 Jawaban

  • Fungsi Komposisi

    f(x) = x + 1
    g(x) = x² + kx

    (g o f )(3) = 24

    k?

    (g o f)(3) = 24
    g(f(3)) = 24

    f(3) = 3 + 1 = 4

    g(4) = 24

    4² + 4k = 24
    16 + 4k = 24
    4k = 8
    k = 2

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