Matematika

Pertanyaan

g (x) =2x-5 dan (fog) (x) = 4x2-20x+25 nilai f (1) adalah

2 Jawaban

  • menentukan nilai f(1)

    (fog) (x) = 4x² - 20x + 25
    f(g(x)) = 
    4x² - 20x + 25
    f(
    2x - 5) = 4x² - 20x + 25
    f(1) = 
    4((x + 7) ÷ 2)² - 20((x + 7) ÷ 2) + 25
    f(1) = 4((x² + 14x + 49) ÷ 4) - (10x + 70) + 25
    f(1) = x² + 14x + 49 - 10x - 70 + 25
    f(1) = x
    ² + 4x + 4
  • Fog (x) = 4x² -20x+25
    f (g(x)). = 4 x² -20x+25
    f ( 2x-5 ) = 4 (2x-5)² - 20(2x-5) +25
    = 4(4x+25) - 40x+100 +25
    = 16x + 100 - 40x +100 + 25
    = 16x - 40x + 225
    = -24x + 225
    f(1) = -24(1) + 225
    = -24+225
    = 201

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