Matematika

Pertanyaan

Diketahui fungsi f:R dengan f(x)= 4x+2 dan fungsi g:R ➡ R dengan g(x) = 2x-7 tentukanlah :
a. gof(8)
b. fog(2)

2 Jawaban

  • a.
    (gof)(8)
    = 2(4(8) + 2) - 7
    = 2(34) - 7
    = 68 - 7
    = 61

    b.
    (fog)(2)
    = 4(2(2) - 7) + 2
    = 4(-3) + 2
    = -12 + 2
    = -10
  • g○f (x) = 2(4x+2)-7
    = 8x + 4 - 7
    = 8x - 3
    g○f (8) = 8×8 - 3
    = 64 - 3
    = 61
    f○g (x) = 4(2x-7) + 2
    = 8x - 28 + 2
    = 8x - 26
    f○g (2) = 8×2 - 26
    = 16 - 26
    = -10

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