Matematika

Pertanyaan

dik: f(x)=5×-2
g(×)=6×-1
h(×)=2×^+1
tentukam
a.goh (×)
b.fohog (-2)

1 Jawaban


  • [tex]f(x)=5x-2 \\
    g(x)=6x-1 \\
    h(x)={2}^{x } + 1 \\
    tentukan \\
    (goh) (x) = g({2}^{x } + 1) \\ = 6({2}^{x } + 1 ) - 1 \\ = 6( {2}^{x}) \\ \\
    (fohog) (-2) = (foh)(6( - 2) - 1) \\ = (foh)( - 12 - 1) \\ = (foh)( - 13) \\ = f( {2}^{ - 13 } + 1 ) \\ = 5({2}^{ - 13} + 1) - 2 \\ = 5. {2}^{13} + 3[/tex]

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