Problem

Given the function \(f(x) = x^2 + 3x - 4\), express \(f(x+2)\) as an equation.

Answer

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Answer

Simplify the equation to get \(f(x+2) = x^2 + 7x + 6\)

Steps

Step 1 ：Substitute \(x+2\) into the original function \(f(x)\), we get \(f(x+2) = (x+2)^2 + 3(x+2) - 4\)

Step 2 ：Expand the equation to get \(f(x+2) = x^2 + 4x + 4 + 3x + 6 - 4\)

Step 3 ：Simplify the equation to get \(f(x+2) = x^2 + 7x + 6\)

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