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Em relação à função real definida por g(x) = 2x + 1, é correto afirmar que g(g(0)) corresponde a:

Question

Em relação à função real definida por g(x) = 2x + 1, é correto afirmar que g(g(0)) corresponde a:

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Solution

1. ### Break Down the Problem

Vamos calcular a função g(x) aplicada duas vezes: primeiro, calcularemos g(0) e, em seguida, aplicaremos g novamente ao resultado.

2. ### Relevant Concepts

A função dada é g(x)=2x+1 g(x) = 2x + 1 .

3. ### Analysis and Detail

  1. Calcular g(0): g(0)=2(0)+1=1 g(0) = 2(0) + 1 = 1

  2. Calcular g(g(0)), que é g(1): g(1)=2(1)+1=2+1=3 g(1) = 2(1) + 1 = 2 + 1 = 3

4. ### Verify and Summarize

Verificamos que g(0)=1 g(0) = 1 e, em seguida, aplicamos a função novamente para obter g(1)=3 g(1) = 3 .

Final Answer

Portanto, g(g(0))=3 g(g(0)) = 3 .

This problem has been solved

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