Matematika

Pertanyaan

kak tolong bantu no 4 -6
kak tolong bantu no 4 -6

1 Jawaban

  • 4. f(x) = x - 5 ,g(x) = x^2 + 1
    ( f . g)(x) = f(x) . g(x)
    = (x-5)(x^2+1)
    = x.x^2 - 5.x^2 + 1.x - 5.1
    = x^3 - 5x^2 + x -5

    5. f(x) = x^2 - 4 ,g(x) = x+2
    (f/g)(x) = f(x)/g(x)
    = x^2 -4/x+2
    = (x+2)(x-2) / (x+2)
    = x-2

    6. g(x) = x^2 - 9
    gof(x) = 4x^2 +12x
    g(f(x)) = 4x^2 + 12x
    (f(x))^2 - 9 = 4x^2 +12x
    f(x)^2 = 4x^2 +12x +9
    f(x) = √4x^2+12x+9
    f(x) = 2x +3