Question Detail
Question
Given f(x-1)=3x²-4x+1, find f(x)
Correct Answer
Option A is the correct answer.
Detailed Explanation
Let u=x-1, so x=u+1. Substituting: f(u)=3(u+1)²-4(u+1)+1 = 3u²+6u+3-4u-4+1 = 3u²+2u. So f(x)=3x²+2x.
Hint
Substitute u=x-1 (so x=u+1) into the given expression to find f as a function of u.