Jawab:
Penjelasan dengan langkah-langkah:
f(x) = 2x² + 5
g(x) = x - 3
a. (fog)(x) = f(g(x))
= 2 (g(x))² + 5
= 2 (x - 3)² + 5
= 2 (x² - 6x + 9) + 5
= 2x² - 12x + 18 + 5
= 2x² - 12x + 23
b. (gof)(x) = g(f(x))
= f(x) - 3
= 2x² + 5 - 3
= 2x² + 2
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Jawab:
Penjelasan dengan langkah-langkah:
f(x) = 2x² + 5
g(x) = x - 3
a. (fog)(x) = f(g(x))
= 2 (g(x))² + 5
= 2 (x - 3)² + 5
= 2 (x² - 6x + 9) + 5
= 2x² - 12x + 18 + 5
= 2x² - 12x + 23
b. (gof)(x) = g(f(x))
= f(x) - 3
= 2x² + 5 - 3
= 2x² + 2