Matematika

Pertanyaan

Diketahui f(x)=(2x+5)² dan g(x)= -5x+2.
Tentukan:
a. (f•g)(x)
b. (f•g)(-2)

c. (g•f)(x)
d. (g•f)(1)

tolong diberi penjelasan sekalian ya

1 Jawaban

  • a. (f•g)(x) = (2(-5x+2)+5)² = (-10x+4+5)² = (-10x+9)² = 100x²-180x+81
    b. (f•g)(-2) = 100(-2)²-180(-2)+81 = 100(4)+360+81 = 400+360+81 = 841

    c. (g•f)(x) = -5(2x+5)²+2 = -5(4x²+20x+25)+2 = -20x²-100x-125+2 = -20x²-100x-123
    d. (g•f)(1) = -20(1)-100(1)-123 = -20-100-123 = -243

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