s8841505 s8841505

23-01-2022
Mathematics

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xenia168 xenia168

23-01-2022

Answer:

f(g(x)) = 8x² + 18x - 8

Step-by-step explanation:

f(x) = 2x² - 5x - 15

g(x) = - 2x - 1

f(g(x)) = y

y = 2( - 2x - 1 )² - 5( - 2x - 1 ) - 15 =

2(4x² + 4x + 1) + 10x + 5 - 15 =

8x² + 8x + 2 + 10x + 5 - 15 =

f(g(x)) = 8x² + 18x - 8

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