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2 years ago

Consider the function: f(x) = x2 - 6x + 9. determine the value of f(1/2)

Mathematics

2 answers:

Alekssandra [29.7K]2 years ago

4 0

Answer: The correct answer is: " 6 $\frac{1}{4}$ " ;

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or; write as: " 6.25 " .

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" f( $\frac{1}{2})$ = 6 $\frac{1}{4}$ " ;

= 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( $\frac{1}{2}$ ) " ?

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Plug in "( $\frac{1}{2}$ )" for all values of "x" in the equation;

→ to solve for: " f( $\frac{1}{2}$ ) " ; as follows:

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→ " f( $\frac{1}{2}$ ) " ;

= ( $\frac{1}{2}$ )² − 6*( $\frac{1}{2}$ ) + 9 ;

= ( $\frac{1^{2} }{2^{2}}$ ) − ( $\frac{6*1}{2}$ ) + 9 ;

= ( $\frac{1}{4}$ ) − ( $\frac{6}{2}$ ) + 9 ;

= ( $\frac{1}{4}$ ) − 3 + 9 ;

<u>Note</u>: " - 3 + 9 " = 9 + (-3) = 9 − 3 = " 6 " ;

So: Rewrite as:

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→ " ( $\frac{1}{4}$ ) + 6 " ;

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→ which equals: " 6 $\frac{1}{4}$ " ;

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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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Lena [83]2 years ago

3 0

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.

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