Question

f(x) = x2 – 1 e g(x) = x + 2. Determine (fog) (x) e (gof)(x).
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Answer 1

Resposta:

(fog) (x) = x² + 4x + 3

(gof) (x) = x² + 1

Explicação passo-a-passo:

f(x) = x² - 1

g(x) = x + 2

(fog) (x) = f(g(x)) = (x+2)² - 1 = x² + 4x + 4 - 1 = x² + 4x + 3

(gof) (x) = g(f(x)) = x² - 1 + 2 = x² + 1