Matematika

Pertanyaan

tolong jawab yaa
dik:f(x)= x²-4x+2
g(x)= 3x-7
tentukan
a) gof
b)fog
c)gof(5)
d)(fog)(10)

1 Jawaban

  • a. g o f (x)
    = g(f(x))
    = 3(x² - 4x + 2) - 7
    = 3x² - 12x + 6 - 7
    = 3x² - 12x - 1

    b. f o g (x)
    = f(g(x))
    = f(3x - 7)
    = (3x - 7)² - 4(3x - 7) + 2
    = 6x² - 14x + 49 - 12x + 28 + 2
    = 6x² - 26x + 79

    c. g o f (5)
    = 3(5)² - 12(5) - 1
    = 75 - 60 - 1
    = 14

    d. f o g (10)
    = 6(10)² - 26(10) + 79
    = 600 - 260 + 79
    = 419

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