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Answer :
To find [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = -4x + 1 \)[/tex], follow these steps:
1. Understand the Function: The function given is [tex]\( f(x) = -4x + 1 \)[/tex]. This means for any value of [tex]\( x \)[/tex], you need to substitute [tex]\( x \)[/tex] into the equation and solve.
2. Substitute [tex]\( x = 3 \)[/tex]: Replace [tex]\( x \)[/tex] with 3 in the function:
[tex]\[
f(3) = -4(3) + 1
\][/tex]
3. Calculate the Multiplication: Next, multiply [tex]\(-4\)[/tex] by 3:
[tex]\[
-4 \times 3 = -12
\][/tex]
4. Add to Find the Result: Finally, add 1 to [tex]\(-12\)[/tex]:
[tex]\[
-12 + 1 = -11
\][/tex]
So, the value of [tex]\( f(3) \)[/tex] is [tex]\(-11\)[/tex]. Therefore, the correct answer is G. -11.
1. Understand the Function: The function given is [tex]\( f(x) = -4x + 1 \)[/tex]. This means for any value of [tex]\( x \)[/tex], you need to substitute [tex]\( x \)[/tex] into the equation and solve.
2. Substitute [tex]\( x = 3 \)[/tex]: Replace [tex]\( x \)[/tex] with 3 in the function:
[tex]\[
f(3) = -4(3) + 1
\][/tex]
3. Calculate the Multiplication: Next, multiply [tex]\(-4\)[/tex] by 3:
[tex]\[
-4 \times 3 = -12
\][/tex]
4. Add to Find the Result: Finally, add 1 to [tex]\(-12\)[/tex]:
[tex]\[
-12 + 1 = -11
\][/tex]
So, the value of [tex]\( f(3) \)[/tex] is [tex]\(-11\)[/tex]. Therefore, the correct answer is G. -11.
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