Question
Type your answer \( \begin{array}{l}\text { Evaluate }(f+g)(x) \text { if } f(x)=-3 x^{2} \text { and } \\ g(x)=4 x-3 \text { when } x=3\end{array} \) 0
Ask by Bond Lewis. in the United States
Nov 19,2024
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Answer
The value of \( (f+g)(3) \) is -18.
Solution
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To evaluate \((f+g)(x)\), we first find \( f(x) + g(x) \). Given \( f(x) = -3x^2 \) and \( g(x) = 4x - 3 \), we calculate: \[ f(3) = -3(3)^2 = -3(9) = -27 \] \[ g(3) = 4(3) - 3 = 12 - 3 = 9 \] Now, we add these values together: \[ (f+g)(3) = f(3) + g(3) = -27 + 9 = -18 \] So, the final answer is \(-18\).