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Answer :
To find the value of [tex]\( f(-4) \)[/tex] for the function [tex]\( f(x) = -3x + 30 \)[/tex], follow these steps:
1. Substitute the value of [tex]\( x \)[/tex]: Replace [tex]\( x \)[/tex] with [tex]\(-4\)[/tex] in the function.
[tex]\[
f(-4) = -3(-4) + 30
\][/tex]
2. Multiply: Calculate [tex]\(-3 \times (-4)\)[/tex].
[tex]\[
-3 \times (-4) = 12
\][/tex]
3. Add the result to 30: Add 12 to 30.
[tex]\[
12 + 30 = 42
\][/tex]
Therefore, the value of [tex]\( f(-4) \)[/tex] is [tex]\(\boxed{42}\)[/tex].
1. Substitute the value of [tex]\( x \)[/tex]: Replace [tex]\( x \)[/tex] with [tex]\(-4\)[/tex] in the function.
[tex]\[
f(-4) = -3(-4) + 30
\][/tex]
2. Multiply: Calculate [tex]\(-3 \times (-4)\)[/tex].
[tex]\[
-3 \times (-4) = 12
\][/tex]
3. Add the result to 30: Add 12 to 30.
[tex]\[
12 + 30 = 42
\][/tex]
Therefore, the value of [tex]\( f(-4) \)[/tex] is [tex]\(\boxed{42}\)[/tex].
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