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Answer :
To evaluate the function [tex]\( f(x) = -2x - 9 \)[/tex] at [tex]\( x = -4 \)[/tex], you need to substitute [tex]\(-4\)[/tex] in place of [tex]\( x \)[/tex] in the function and simplify:
1. Start by substituting [tex]\(-4\)[/tex] into the function:
[tex]\[
f(-4) = -2(-4) - 9
\][/tex]
2. Calculate [tex]\(-2 \times (-4)\)[/tex]:
[tex]\[
-2 \times (-4) = 8
\][/tex]
3. Continue simplifying by subtracting 9:
[tex]\[
8 - 9 = -1
\][/tex]
Therefore, the simplified value of the function is [tex]\(-1\)[/tex].
The correct choice is [tex]\( \text{C. } -1 \)[/tex].
1. Start by substituting [tex]\(-4\)[/tex] into the function:
[tex]\[
f(-4) = -2(-4) - 9
\][/tex]
2. Calculate [tex]\(-2 \times (-4)\)[/tex]:
[tex]\[
-2 \times (-4) = 8
\][/tex]
3. Continue simplifying by subtracting 9:
[tex]\[
8 - 9 = -1
\][/tex]
Therefore, the simplified value of the function is [tex]\(-1\)[/tex].
The correct choice is [tex]\( \text{C. } -1 \)[/tex].
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