If $f (x) = x^{2} + x + 7$ , then find $f (x + 4)$

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Solution

$f (x) = x^{2} + x + 7$
$f (x + 4) = {(x + 4)}^{2} + x + 4 + 7$
$= x^{2} + 8 x + 16 + x + 11$
$= x^{2} + 9 x + 27$

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