Matematika

Pertanyaan


[tex]f(x) = 3x - 4.g (x) = 2x ^{2} + 4x - 5[/tex]
tolong tentukan a.(f°g)(x)
b.(g°f)(x)

1 Jawaban

  • A.
    f o g (x) = f(2x² + 4x -5)
    f o g (x) = 3(2x² + 4x -5) - 4
    f o g (x) = 6x² + 12x - 19

    B.
    g o f (x) = g (3x - 4)
    g o f (x) = 2(3x - 4)² + 4(3x - 4) - 5
    g o f (x) = 2(9x² -24x + 16) + (12x - 16 - 5)
    g o f (x) = 18x² - 48x + 32 + 12x - 21
    g o f (x) = 18x² - 36x + 11

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