Question
Evaluate \( (f \circ g)(5) \) \[ f(x)=2 x+7 \] \( g(x)=x+9 \) \( (f \circ g)(5)=\square \)
Ask by Powers Grant. in the United States
Mar 16,2025
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Answer
\( (f \circ g)(5) = 35 \)
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To evaluate \( (f \circ g)(5) \), we first need to determine what \( g(5) \) is. Using the function \( g(x) = x + 9 \): \[ g(5) = 5 + 9 = 14 \] Next, we apply \( f \) to the result of \( g(5) \): Using the function \( f(x) = 2x + 7 \): \[ f(g(5)) = f(14) = 2(14) + 7 = 28 + 7 = 35 \] Thus, \( (f \circ g)(5) = 35 \). Therefore, the answer is \( \boxed{35} \).