If f(x)=2x+1 and g(f(x))=4x^2+4x+3 find g(x) given that g(x)=ax^2+bx+c how do I do that?
I know that somebody has solved this before but I would like a better version of that one since I did not understand what was going on in the other one. Many thanks!
I know that somebody has solved this before but I would like a better version of that one since I did not understand what was going on in the other one. Many thanks!
1 Answer
Explanation:
We know that
Expanding the parentheses:
Rearranging the variables:
Now, we are also given the fact that
Comparing coefficients:
Therefore,