Evaluate the function

If f(x) = x² − 2, then f(x + h) = ?

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Substitute (x + h), in for x, into f(x) = x² - 2
f(x + h) = (x + h)² - 2   {substituted (x + h) in for x}
=  (x + h)(x + h) - 2   {squared the binomial}
=  x² + 2xh + h² - 2   {used distributive property / FOIL method}

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