Type your answer $$ \begin{array}{l} ext { Evaluate }(f+g)(x) ext { if } f(x)=-3 x^{2} ext { and } \ g(x)=4 x-3 ext { when } x=3\end{array} $$ 0

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Type your answer $$ \begin{array}{l}	ext { Evaluate }(f+g)(x) 	ext { if } f(x)=-3 x^{2} 	ext { and } \ g(x)=4 x-3 	ext { when } x=3\end{array} $$ 0

UpStudy AI · Accepted Answer

Given that $$ f(x) = -3x^2 $$ and $$ g(x) = 4x - 3 $$, we need to find the value of $$ (f+g)(x) $$ when $$ x = 3 $$.

First, let's find the sum of the functions $$ f(x) $$ and $$ g(x) $$:
$$ (f+g)(x) = f(x) + g(x) = -3x^2 + 4x - 3 $$

Now, we substitute $$ x = 3 $$ into the expression $$ (f+g)(x) $$:
$$ (f+g)(3) = -3(3)^2 + 4(3) - 3 $$

Let's calculate the value of $$ (f+g)(3) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$-3\times 3^{2}+4\times 3-3$$
- step1: Calculate:
  $$-3^{3}+4\times 3-3$$
- step2: Multiply the numbers:
  $$-3^{3}+12-3$$
- step3: Evaluate the power:
  $$-27+12-3$$
- step4: Calculate:
  $$-18$$
The value of $$ (f+g)(3) $$ is -18.
The value of $$ (f+g)(3) $$ is -18.

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