Matematika

Pertanyaan

Diketahui f(x)=2x-3 g(x)=x²-1
Carilah nilai dari:
A.(FoG)(m)=8
B.(GoF)(m)=0

1 Jawaban

  • f(x) = 2x - 3
    g(x) = x² - 1
    cari nilai dari m?

    A). (fog) (m) = 8
    f(g(m)) = 8
    2(g(m)) - 3 = 8
    2(m² - 1) - 3 = 8
    2m² - 2 - 3 = 8
    2m² - 5 = 8
    2m² = 13
    m² = 13/2
    m = √(13/2)
    m = √26 / 2

    B). (gof) (m) = 0
    g(f(m)) = 0
    (f(m))² - 1 = 0
    (2m - 3)² - 1 = 0
    4m² - 12m + 9 - 1 = 0
    4m² - 12m + 8 = 0
    m² - 3m + 2 = 0
    (m - 2)(m - 1) = 0
    m = 2 atau m = 1

    GoodLuck:D

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