Matematika

Pertanyaan

Diketahui fungsi f(x) = 3x − 1 dan g(x) = 2x² + 3. Nilai dari komposisi fungsi (g o f)(1) =....

point gede loh...

2 Jawaban

  • (gof)(x) = g(f(x))
    = 2(3x - 1)² + 3
    = 2(9x² - 6x + 1) + 3
    = 18x² - 12x + 5

    (gof)(1) = (g(f(1))
    = 18(1)² - 12(1) + 5
    = 18 - 12 + 5
    = 11
  • Komposisi fungsi

    f(x)= 3x - 1 , g(x)= 2x² + 3
    f(1) = 3(1) - 1
    f(1) = 2

    gof(1) = g(2)= 2(2²) + 3 = 8+3
    gof(1) = 11

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