Matematika

Pertanyaan

1. f (x) = x²-6, g(x)= √x+1, hitung (fog) (3) dan (gof) (1)
2. f (x)= x²+2x-1, g(x)= 2x+1, h(x) = 1/2 hitunglah [(fog)oh] (3) dan [fo(goh)] (3)

1 Jawaban

  • 1. f(x) = x²- 6 , g(x)= √x+1
    g(3) = √3+1 , f(1) = x²- 6 -> 1 - 6 = -5
    (fog)(3) = (√3+1)²- 6
    = (√3+1)(√3+1) - 6
    = 3+√3+√3+1 - 6
    = 2√3+4-6 -> 2√3-2
    (gof)(1) = √x+1 = √-5 + 1

    2.

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