Matematika

Pertanyaan

Jika g(x) = x2-1 dan fungsi memenuhi (f o g) (x) = x4 maka f(4) =

1 Jawaban

  • (f○g) (x) = 4x
    f (g(x)) = 4x
    f (2x-1) = 4x

    misal,
    2x-1 = p
    2x = p+1
    x = p+1 / 2

    f (2 (p+1 /2 ) -1 = 4 (p+1 / 2)
    f (p+1-1) = 2p+2
    f (p) = 2p+2

    f (x) = 2x + 2

    maka,
    f (4) = 2(4)+2
    =8+2
    =10

Pertanyaan Lainnya