f(x) question

Mewmew

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Sep 11, 2014
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Let f(x) = x^2- 3x +2


What is f(x)?

The answer is x^2 +2xh+h^2-3x-3h+2


but I do not know why because this was a multiple choice questions and I guessed at the answer and now I am trying to figure it out so I will know for the upcoming stuff.
 
Let f(x) = x^2- 3x +2


What is f(x)?

The answer is x^2 +2xh+h^2-3x-3h+2


but I do not know why because this was a multiple choice questions and I guessed at the answer and now I am trying to figure it out so I will know for the upcoming stuff.
Go back and read the problem again! I guarantee it was NOT "f(x)= x^2- 3x+ 2, what is f(x)?"! That would be as bad as "Who is buried in Grant's tomb?"!

I strongly suspect that the problem said "f(x)= x^2- 3x+ 2, what is f(x+h)?" Okay, if f(x)= x^2- 3x+ 2 then f(a)= a^2- 3a+ 2, f(b)= b^2- 3b+ 2, etc. That is, whatever is in the parentheses replaces x in the formula defining f. In particular, f(x+ h)= (x+ h)^2- 3(x+ h)+ 2. So, what is (x+h)^2? What is 3(x+ h)?
 
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