Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(x + 2)

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Identify the given functions: \(f(x) = -3x + 4\) and \(g(x) = -x^{2} + 4x + 1\).

To find \(f(x + 2)\), substitute every occurrence of \(x\) in \(f(x)\) with \((x + 2)\).

Write the substitution explicitly: \(f(x + 2) = -3(x + 2) + 4\).

Apply the distributive property to expand: \(-3(x + 2) = -3x - 6\).

Combine like terms to simplify: \(f(x + 2) = -3x - 6 + 4 = -3x - 2\).

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