Question

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

Answer 1

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    ;

Note:   " - 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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Answer 2

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.