Matematika

Pertanyaan

mohon bantuannya sekali kak
mohon bantuannya sekali kak

1 Jawaban

  • jawab

    1.  f(x) = x + 2
    g(x) =2/(3x -6)

    (f+g)(x) =  f(x) + g(x)
    =  x  + 2  + 2/(3x -6)
    = {x(3x-6) + 2(3x-6) + 2}/(3x -6)
    = { x² -6x + 6x -12 + 2 } /(3x -6)
    = (x² -10)/(3x - 6)

    2. f(x) = 2x -2
    g(x)= x² -1
    gof(2) =  g { f(2) }
    = g { 2(2) - 2 }
    = g(2)
    = 2² -1
    = 3

    3.  fog(x) =  f { g(x)}
    = f {x² - 1 }}
    = 2(x² -1 ) - 2
    = 2x² -2  - 2
    = 2x² - 4

    4.  g(x)= x² + x  +2
    fog(x) = 2x² + 2x + 5
    f{g(x)} = 2x² + 2x + 5
    f (x² + x + 2) = 2x² + 2x + 5
    f (x² + x+ 2) = 2 (x²+x + 2) + 1
    f(x) = 2x + 1

    5. f(x )= x+ 2
    fog(x) = 3x - 5
    f{g(x)} = 3x - 5
    g(x) + 2 = 3x - 5
    g(x) = 3x - 5 - 2
    g(x) = 3x - 7