Matematika

Pertanyaan

f(x)=5x-4 dan g(x)=x2+6. tentukan a.(fog) (x) b.(gof)(x) c.(fog)(5)

1 Jawaban

  • a. (fog)(x) = fungsi f dengan komposisi g

    f (g (x)) = 5 (g (x)) - 4 = 5 (x^2+6)-4 = 5x^2 + 30 -4

    b. (gof)(x)

    g (f (x)) = (f (x))^2 + 6 = (5x-4)^2 + 6 =
    25x^2 - 40x + 22

    c. (fog)(5) = 5. (5)^2 + 30 - 4 = 125 +26 = 151

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