Answer:
Correct answer: (g · h) (x) = 18 x² - 81 x + 85
Step-by-step explanation:
Given:
h(x) = 3 x - 5
g(x) = 2 · x² - 7 x
This is a composition of functions:
(g · h)(x) = g(h(x)) = g(3 x - 5) = 2 · (3 x - 5)² - 7 (3 x - 5) = 2 · (9 x² - 30 x + 25)
(g · h)(x) = 2 · (9 x² - 30 x + 25) - 21 x + 35 = 18 x² - 60 x + 50 - 21 x + 35
(g · h)(x) = 18 x² - 81 x + 85
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