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Mathematics - I know f(2x+1) = (2x2+1) + 4x + 2 - 3 but I'm not sure where to go from there
The prompt
I know f(2x+1) = (2x2+1) + 4x + 2 - 3 but I'm not sure where to go from there
AI output
You are on the right track. Substitute (2x+1) into f(x) = x2 + 2x - 3 to get f(2x+1) = (2x+1)2 + 2(2x+1) - 3. Expand the bracket: (2x+1)2 = 4x2 + 4x + 1. Then add 2(2x+1) = 4x + 2. Combine and simplify: 4x2 + 4x + 1 + 4x + 2 - 3 = 4x2 + 8x. The final answer is f(2x+1) = 4x2 + 8x or 4x(x + 2).
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