Matematika

Pertanyaan

jika diketahui fungsi f(x) = 5x + 2/3x - 1, x ≠ ⅓ dan g(x) = 3x + 2, maka (f-¹ o g)(1) adalah...
A.16/35
B.15/24
C.7/8
D.34/56
E.6/4

1 Jawaban

  • g(x) = 3x + 2
    g(1) = 3(1) + 2 = 5

    f(x) = (ax + b)/(cx + d)
    f-¹(x) = (-dx + b)/(cx - a)

    f(x) = (5x + 2)/(3x - 1)
    f-¹(x) = (x + 2)/(3x - 5)

    (f-¹ o g)(1)
    = f-¹ (g(1))
    = f-¹ (5)
    = (5 + 2)/(3(5) - 5)
    = 7/10

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