Matematika

Pertanyaan

F (x) = x+4
g (x) = 4x-1
tentukan
a. (g o f) (x) (g o f)
b. (f o g) (x)
c. (f o g) (3)

2 Jawaban

  • a. (g o f) (x)
    = g(f(x))
    = g(x + 4)
    = 4(x + 4) - 1
    = 4x + 16 - 1 = 4x + 15

    b. (f o g) (x) 
    = f(g(x))
    = f(4x - 1)
    = 4x - 1 + 4 = 4x + 3

    c. (f o g) (3) 
    = 4x + 3 = 4.3 + 3 = 15

    maaf kalau ada yang salah
  • a. (g o f) (x)
    b. (f o g) (x)
    c. (f o g) (3)

    jwb :
    a.
    (g o f) = g (f(x))
       =
    g  (x + 4)
    = 4x - 1
    = 4 (x + 4) -1
    = 4x + 16 - 1
    = 4x + 15

    b. (f o
    g) = f (g(x))
    = f (4x - 1)
    = x + 4
    = x(4x - 1) + 4
    = 4x^2 - x + 4


    yg c aku kurang mengerti, maaf ya :)
    semo
    ga bermanfaat








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