Question

Seja as funções f(x)= x² + 2x +1 e g(x)= -2x-1 determine:

a) f(g(x)

b)g(f(x)

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Answer 1

Resposta:

a) f(g(x)) =

(-2x-1)² + 2.(-2x-1) + 1

(-2x-1).(-2x-1) + (-4x) - 2 + 1

4x² - 4x + 1 - 4x - 2 + 1

f(g(x)) = 4x² - 8x

b) g(f(x)) =

-2.(x² + 2x + 1) -1

-2x² - 4x - 2 - 1

-2x² - 4x - 3

g(f(x)) = -2x² - 4x - 3