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Let f(x)=2x-1,g(x)=3x and h(x)=x^2+1 Evaluate f(g(h(2)))

Pergunta

Let f(x)=2x-1,g(x)=3x and h(x)=x^2+1 Evaluate f(g(h(2)))

Let f(x)=2x-1,g(x)=3x and h(x)=x^2+1 Evaluate f(g(h(2)))

Solução

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StéfanoProfissional · Tutor por 6 anos

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<p> 29</p>

Explicação

<p> <br />1. First, we need to evaluate \( h(2) \). Given that \( h(x) = x^2 + 1 \), when \( x = 2 \), \( h(2) = 2^2 + 1 = 5 \).<br />2. Next, we evaluate \( g(h(2)) \). Given that \( g(x) = 3x \), when \( x = 5 \), \( g(5) = 3 \times 5 = 15 \).<br />3. Finally, we evaluate \( f(g(h(2))) \). Given that \( f(x) = 2x - 1 \), when \( x = 15 \), \( f(15) = 2 \times 15 - 1 = 29 \).<br />Therefore, \( f(g(h(2))) = 29 \).<br /></p>
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