Matematika

Pertanyaan

Diketahui: F(x)=x²+5x-4
g(x)=x+7.tentukan:(f•g)(x) dan (g•f)(x)

2 Jawaban

  • langsung aja yy

    A.
    (fog)(x) = f{g(x)}

    = g(x)² + 5g(x) - 4

    = (x+7)² + 5(x+7) - 4

    = x² + 14x + 49 + 5x + 35 - 4

    = x² + 19x + 80

    B.
    (gof)(x) = g{f(x)}

    = f(x) + 7

    = x² +5x - 4 + 7

    = x² + 5x + 3

    semoga berguna +_+

  • F(x)=x²+5x-4
    g(x)=x+7

    (f•g)(x) = f(g(x))
    = f(x+7)
    =(x+7)²+5(x+7)-4
    =x²+14x+49+5x+35-4
    =x²+14x+5x+49+35-4
    =x²+19x+80

    (g•f)(x) = g(f(x))
    = g(x²+5x-4)
    = (x²+5x-4)+7
    =x²+5x-4+7
    =x²+5x+3

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