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Answer :
To find [tex]\( f(-2) \)[/tex] for the function [tex]\( f(x) = 3x^2 - 4x + 2 \)[/tex], you substitute [tex]\(-2\)[/tex] into the function for [tex]\(x\)[/tex] and evaluate it:
1. Start with the function:
[tex]\[ f(x) = 3x^2 - 4x + 2 \][/tex]
2. Substitute [tex]\(-2\)[/tex] for [tex]\(x\)[/tex]:
[tex]\[ f(-2) = 3(-2)^2 - 4(-2) + 2 \][/tex]
3. Calculate each term:
- The first term is [tex]\(3(-2)^2\)[/tex]:
[tex]\[-2\) squared is \(4\), so \(3 \times 4 = 12\][/tex].
- The second term is [tex]\(-4(-2)\)[/tex]:
[tex]\[-4 \times -2 = 8\][/tex].
- The third term is [tex]\(2\)[/tex].
4. Add these values together:
[tex]\[ 12 + 8 + 2 = 22 \][/tex]
Therefore, [tex]\( f(-2) = 22 \)[/tex]. So, the answer is [tex]\(22\)[/tex].
1. Start with the function:
[tex]\[ f(x) = 3x^2 - 4x + 2 \][/tex]
2. Substitute [tex]\(-2\)[/tex] for [tex]\(x\)[/tex]:
[tex]\[ f(-2) = 3(-2)^2 - 4(-2) + 2 \][/tex]
3. Calculate each term:
- The first term is [tex]\(3(-2)^2\)[/tex]:
[tex]\[-2\) squared is \(4\), so \(3 \times 4 = 12\][/tex].
- The second term is [tex]\(-4(-2)\)[/tex]:
[tex]\[-4 \times -2 = 8\][/tex].
- The third term is [tex]\(2\)[/tex].
4. Add these values together:
[tex]\[ 12 + 8 + 2 = 22 \][/tex]
Therefore, [tex]\( f(-2) = 22 \)[/tex]. So, the answer is [tex]\(22\)[/tex].
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