Problem

Obrigatória
Nota: 1
Dada a funçāo de $\mathbb{R} \rightarrow \mathbb{R}:$
\[
f(x)=\left\{\begin{array}{c}
2 x-1, \text { se } x \geq-5 \\
-x+1, \text { se } x< -5
\end{array}\right\}
\]
Determine $f(-4)$ :
7
3
5
$-9$
$-7$

Answer

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Answer

\(\boxed{-9}\)

Steps

Step 1 :Determine the value of the function f(x) when x = -4. Since -4 is greater than or equal to -5, we will use the first part of the function definition: \(2x - 1\).

Step 2 :Substitute x = -4 into the function: \(f(-4) = 2(-4) - 1\)

Step 3 :Calculate the value: \(f(-4) = -8 - 1\)

Step 4 :Simplify the expression: \(f(-4) = -9\)

Step 5 :\(\boxed{-9}\)

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