Matematika

Pertanyaan

Tolong bantu jawab dong
Tolong bantu jawab dong

1 Jawaban

  • 3. f(x) = 3x + 5
    g(x) = 2x/x+1
    (gof)(x) = 2(3x+5)/3x+5+1 = 6x+10/3x+6

    4. f(x) = 3x - 5
    g(x) = x-1/2-x
    (gof)(x) = 3x-5-1/2-(3x-5)= 3x-6/7-3x

    5. f(x) = x+1/x-3
    g(x) = x^2+x+1
    f(2) = x+1/x-3 = 2+1/2-3 = 3/-1 = -3
    (gof)(2) = x^2+x+1 = (-3)^2+(-3)+1 = 9-3+1 = 7

    6. f(x) = 2x+p
    g(x) = 3x + 120
    g(f(x)) = f(g(x))
    3(2x+p) + 120 = 2(3x+120) + p
    6x + 3p + 120 = 6x + 240 + p
    6x-6x + 3p - p = 240 - 120
    2p = 120
    p = 120/2
    p = 60