Matematika

Pertanyaan

diketahui fungsi f(x)=x+5 dan g(x)=x²-25 tentukan lah fungsi berikut:
1.(f+g)(5)
2.(f-g)(x)
3.(f:g)(x)
4.(f×g)(-6)

2 Jawaban

  • Bab Fungsi
    Matematika SMA Kelas X

    1] (f + g) (x)
    = x + 5 + x² - 25
    = x² + x - 20

    (f + g) (5)
    = 5² + 5 - 20
    = 25 + 5 - 20
    = 10

    2] (f - g) (x)
    = (x + 5) - (x² - 25)
    = x + 5 - x² + 25
    = -x² + x + 30

    3] (f : g) (x)
    = (x + 5) : (x² - 25)
    = (x + 5) : ((x + 5) (x - 5))
    = 1/(x - 5)

    4] (f x g) (x)
    = (x + 5) (x² - 25)
    = x^3 - 25x + 5x² - 125

    (f x g) (-6)
    = (-6)^4 - 25 . (-6) + 5 . (-6)² - 125
    = 1.296 + 150 + 180 - 125
    = 1.501
  • 1.(f+g)(5) = (x+5) + (x2 - 25)
    = (5+5) + (25-25)
    = 10-0
    = 10
    2.(f-g)(x) = x2+x-20
    3.(f:g)(x) = x+5 : x2-25
    = x+5 : (x-5)(x+5)
    = 1/(x-5)
    4.(f.g)(-6) = (-6+5) . (36-25)
    = -1 . 11
    = -11

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