Question

I need help with two math problems.

Question 1- Given the quadratic function f(x)=x^2+1, find the value of (2). Make sure to show all work! The answer is f(2)=5 but i need to know how to show the work!


Question 2- Find f(3) when f(x)=x^2-3x^2+2. Make sure to show all your work!
The answer is f(3)=-16 I need to know how to show the work!

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.