Question

I need help with two math problems.

Answer 1

Answer:
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Question 1) :  The answer is:  " f(2) = 5 " .
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Given the quadratic function:
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   " f(x) = x² + 1 "  ;   
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FInd the value of:  " f(2) " ;  that is, when "x = 2" ; what is the resulting value?

So, replace all values of "x" in the function with "2" ; and solve to find the "output" ;

    f(2) = (2)² + 1  = (2 * 2)  +  1  =  4 + 1 = 5  .

The answer:  f(2) = 5 .
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Question 2):
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Given:  " f(x)  =  x² −  3x² + 2 " ;   Find:  "f(3)" ;  that is, when "x = 3" ; what is the resulting value?

So;  replace all values of "x" in the function with "3" ; and solve to find the "output" ;

     f(3) = (3)² − 3(3²) + 2 ;

            = 9 − (3)(9) + 2 ;

            = 9 − 27 + 2 ;
            
            = (9 − 27) + 2 ;
 
            =  - 18 + 2 ;

            =  -16 .
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The answer is:   f(3) = - 16 .
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Hope these explanations ar of some help.