Step-by-step explanation:
f(x) = x² − 6x + 9
f(½) = (½)² − 6(½) + 9
f(½) = ¼ − 3 + 9
f(½) = 6¼
The value is 6¼, or as an improper fraction, 25/4.
Answer: The correct answer is: " 6 [tex]\frac{1}{4}[/tex] " ;
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or; write as: " 6.25 " .
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" f([tex]\frac{1}{2})[/tex] = 6 [tex]\frac{1}{4}[/tex] " ;
= 6.26 " .
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Step-by-step explanation:
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Given the function:
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" f(x) = x² − 6x + 9 " ;
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What is: " f([tex]\frac{1}{2}[/tex]) " ?
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Plug in "([tex]\frac{1}{2}[/tex])" for all values of "x" in the equation;
→ to solve for: " f([tex]\frac{1}{2}[/tex]) " ; as follows:
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→ " f([tex]\frac{1}{2}[/tex]) " ;
= ([tex]\frac{1}{2}[/tex])² − 6*([tex]\frac{1}{2}[/tex]) + 9 ;
= ([tex]\frac{1^{2} }{2^{2}}[/tex]) − ([tex]\frac{6*1}{2}[/tex]) + 9 ;
= ([tex]\frac{1}{4}[/tex]) − ([tex]\frac{6}{2}[/tex]) + 9 ;
= ([tex]\frac{1}{4}[/tex]) − 3 + 9 ;
Note: " - 3 + 9 " = 9 + (-3) = 9 − 3 = " 6 " ;
So: Rewrite as:
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→ " ([tex]\frac{1}{4}[/tex]) + 6 " ;
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→ which equals: " 6 [tex]\frac{1}{4}[/tex] " ;
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or; write as: " 6.25 " .
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Hope this answer —and lengthy explanation — is helpful to you!
Wishing you the best in your academic endeavors
— and within the "Brainly" community!
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