Matematika

Pertanyaan

Diket: f(x)=2+3x
g(x)=2x²+x
h(x)=5-4x
tentukan:
a.(fog)(x)
b.(gof)(x)
c.(hof)(x)
d.(hof)(-2)
Jawab...ya besok dikumpulkan

1 Jawaban

  • a) fog(x) = f(g(x))
    fog(x) = 2 + 3(2x²+x) = 2 + 6x² + 3x
    b) gof(x) = g(f(x))
    gof(x) = 2(2+3x)² + 2 + 3x
    = 2(4+12x+9x²) + 2 + 3x
    = 8 + 24x + 18x² + 2 + 3x
    = 18x² + 27x + 10
    c) hof(x) = h(f(x))
    hof(x) = 5 - 4(2 + 3x) = 5 - 8 + 12x = -3 + 12x
    d) hof(-2) = -3 + 12(-2) = -3 - 24 = -27

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