Matematika

Pertanyaan

dik. f(x)=2x + x,g(x)=3x-4 dan h(x)= 2x-4/-4-x tentkan a. (h0f0g)(x) b.(h0g0f)(x)

1 Jawaban

  • f(x) = 2x + x
    g(x) = 3x - 4
    h(x) = 2x-4/4-x

    a.(hofog)(x) = (hof)(3x-4)
                       = h (2(3x-4)+3x-4)
                       = h (6x-8+3x-4)
                       = h ( 9x - 12)
                       = 2(9x-12)-4 / -4-(9x-12)
                       = 18x-24-4 / -4-9x+12
                       = 18x - 28 / -9x+ 8

    b.(hogof)(x) = (hog)(2x+x)
                       = h (3(2x+x)-4)
                       = h ( 6x+3x-4)
                       = h ( 9x-4)
                       = 2(9x-4)-4 / -4-(9x-4)
                       = 18x-8-4 / -4-9x+4
                       = 18x-12 / -9x

    semoga membantu :)
                   

Pertanyaan Lainnya