Matematika

Pertanyaan

tentukan (f•g)(2) dan (g•f)(-1) untuk fungsi f(x) =2x² dan g(x) =x +1

2 Jawaban

  • langsung aja y

    (fog)(2) = f{g(2)}
    = 2g(2)²
    = 2(2+1)²
    = 2(3)²
    = 2(9)
    = 18

    (gof)(-1) = g{f(-1)}
    = f(-1) + 1
    = 2(-1)² + 1
    = 2 + 1
    = 3

    semoga berguna +,+
  • (f ○ g(x)
    = 2(x + 1)²
    = 2(x² + 2x + 1)
    = 2x² + 4x + 2

    (f ○ g)(2)
    = 2(2)² + 4(2) + 2
    = 8 + 8 + 2
    = 18

    (g ○ f)(x)
    = 2x² + 1

    (g ○ f)(-1)
    = 2(-1)² + 1
    = 2 + 1
    = 3

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