Diketahui f(x)= (2x + 2)² dan g(x)= -5 +2. Tentukan: a. (f•g)(x) b. (f•g)(-2) c. (g•f)(x) d. (g•f)(1)
Matematika
taufik0710
Pertanyaan
Diketahui f(x)= (2x + 2)² dan g(x)= -5 +2. Tentukan:
a. (f•g)(x)
b. (f•g)(-2)
c. (g•f)(x)
d. (g•f)(1)
a. (f•g)(x)
b. (f•g)(-2)
c. (g•f)(x)
d. (g•f)(1)
1 Jawaban
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1. Jawaban 4452mot
f(x) = (2x + 2)²
g(x) = -5x + 2
a) (f • g) (x)
= (2(-5x + 2) + 2)²
= ( -10x + 4 + 2)²
= (-10x + 6)²
= 100x² - 120x + 36
b) (f • g) (-2)
= 100(-2)² - 120(-2) + 36
= 400 + 240 + 36
= 676
c) (g•f) (x)
= -5 (2x + 2)² + 2
= -5 (4x² + 8x +4) + 2
= -20x² - 40x - 20 + 2
= -20x² - 40x - 18
d) -20(1) - 40(1) - 18
= - 20 - 40 - 18
= - 78