Matematika

Pertanyaan

diketahui f(x)=2x+5,g(x)=x²+1 dan h(x)=(fog) (x) rumus komposisi (hof)(x)=
a. 8x²+80x+57.
b. 8x²+40x+57.
c.8x²+20x+32.
d.4x²+20x+32.
e.4x²+20x+25

1 Jawaban

  • h = (fog)
    (fog) = 2(x^2+1) + 5
    = 2x^2 + 2 + 5
    = 2x^2 + 7

    (hof) = 2(2x+5)^2 + 7
    = 2 (2x+5)(2x+5) + 7
    = 2 (4x^2 + 10x + 10x + 25) + 7
    = 8x^2 + 20x + 20x + 50 + 7
    = 8x^2 + 40x + 57

    jawaban = B

    semoga membantu

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