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f(x) =
2
-3x²-2x+5
g(x)= -2x+1

Sagot :

To find the composition of functions f(g(x)), we substitute g(x) into f(x) as follows:

f(g(x)) = f(-2x+1)

= 2 - 3(-2x+1)² - 2(-2x+1) + 5

= 2 - 3(4x² - 4x + 1) - 2(-2x+1) + 5

= 2 - 12x² + 12x - 3 - (-4x + 2) + 5

= 2 - 12x² + 12x - 3 + 4x - 2 + 5

= -12x² + 16x + 2

Therefore, the composition of functions f(g(x)) is -12x² + 16x + 2.