Problem

Given two functions: \(f(x) = 3x^2 + 2x + 1\) and \(g(x) = 2x^2 - x + 3\), what is \(f(x) + g(x)\)?

Answer

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Answer

Simplify: \(f(x) + g(x) = 5x^2 + x + 4\)

Steps

Step 1 ：Write the functions together: \(f(x) + g(x) = (3x^2 + 2x + 1) + (2x^2 - x + 3)\)

Step 2 ：Combine like terms: \(f(x) + g(x) = 3x^2 + 2x^2 + 2x - x + 1 + 3\)

Step 3 ：Simplify: \(f(x) + g(x) = 5x^2 + x + 4\)

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