Question
Find \( (f \circ g)(0) \) \( f(x)=x+1 \) and \( g(x)=4 x+6 \)
Ask by Carlson Estrada. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (f \circ g)(0) = 7 \).
Solution
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Beyond the Answer
To find \( (f \circ g)(0) \), we first need to evaluate \( g(0) \) using the function \( g(x) = 4x + 6 \). Calculating \( g(0) \): \[ g(0) = 4(0) + 6 = 6 \] Now that we have \( g(0) = 6 \), we can plug this value into the function \( f(x) = x + 1 \). Calculating \( f(g(0)) = f(6) \): \[ f(6) = 6 + 1 = 7 \] Thus, \( (f \circ g)(0) = 7 \).
