Pollard Potter
08/31/2023 · Middle School
\( g(x)\left\{\begin{array}{ll}2 x^{2}-x & \text { si } x<3 \\ 3-x & \text { si } x \geq 0\end{array} \quad x=3\right. \)
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Tutor-Verified Answer
Step-by-step Solution
The function \( g(x) \) is defined piecewise as follows:
\[
g(x) =
\begin{cases}
2x^2 - x & \text{if } x < 3 \\
3 - x & \text{if } x \geq 3
\end{cases}
\]
To evaluate \( g(3) \), we need to look at the second case of the piecewise function since \( 3 \geq 3 \):
\[
g(3) = 3 - 3 = 0
\]
Thus, the value of \( g(3) \) is \( 0 \).
If you have any further questions or need additional information about this function, feel free to ask!
Quick Answer
The value of \( g(3) \) is \( 0 \).
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