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 $-9$ $-7$

Solution

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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Source: https://solvelyapp.com/problems/17140/

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