Question

Diketahui f(x)= (2×+5)kuadrat dan g (×)= -5×+2)kuadrat dan g (×)=-5 ×+2.tentukan: a. (fog) (×), b. (fog)(-2), c. (gof) (×),dan d. (gof)(1)

Answer 1

A. (f • g)(x) = f (g(x)) =f (-5x+2) = (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 = 400 + 360 + 81 = 841

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

d. (g • f)(1) = -20 (1)² - 100 (1) - 123 = -20 - 100 -123 = -243

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