Matematika

Pertanyaan

Diket = f(x)=3x-1
g(x)=√x
h(x) =x pangkat 2+2
Dit:a.(fogoh) (x)
B. (gofoh) (x)
C. (hogof) (x)

1 Jawaban

  • f(x) = 3x - 1
    g(x) = √x
    h(x) = x² + 2

    A) (fogoh) (x)
    = f(g(x² + 2)
    = f(√(x² + 2))
    = 3(√x² + 2) - 1

    B) (gofoh) (x)
    = g(f(x² + 2)
    = g(3(x² + 2) - 1)
    = √(3x² + 6 - 1)
    = √3x² + 5

    C) (hogof) (x)
    = h(g(3x - 1))
    = h(√(3x - 1))
    = (√3x - 1)² + 2
    = 3x - 1 + 2
    = 3x + 1

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