Matematika

Pertanyaan

Diketahui f(x):3x-15, g(x):2x+6, h(x):x+6. Tentukan:
A.Rumus fungsi (foh) (x)
B.Rumus Fungsi (gofoh) (x)
C.Rumus fungsi (gof) (4)

1 Jawaban

  • a. foh (x)= f{h(x)} = f(x+6) = 3(x+6) - 15
    foh(x) = 3x+ 3

    b. gofoh(x) = g {foh} = f(3x+3)
    gofoh(x) = 2(3x + 3) + 6 = 6x + 6 + 6
    gofoh(x) = 6x + 12

    c. gof(4)= g(f(4))  = g(3(4) -15))
    gof(4) = g(-3) = 2(-3) + 6 = -6  + 6 = 0

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