Matematika

Pertanyaan

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

(g o f)(1)

2 Jawaban

  • f(x) = 3x - 1
    g(x) = 2x² + 3

    (g o f) (1)
    = g(f(1))
    = g(3 - 1)
    = g(2)
    = 2(2)² + 3 = 8 + 3 = 11
  • f (x) = 3x - 1
    g (x) = 2x² + 3

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

    Nilai gof (1)
    = 18x² - 12x + 5
    = 18 (1)² - 12 (1) + 5
    = 18 - 12 + 5
    = 6 + 5
    = 11

Pertanyaan Lainnya