Let $f (x + 3) = 2 x^{2} - 3 x + 1$ then find $f (x + 1)$ .

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Solution

Given, $f (x + 3) = 2 x^{2} - 3 x + 1$ .
Now replacing $x - 2$ in place of $x$ in above expression we get,
$f (x + 1) = 2 (x - 2)^{2} - 3 (x - 2) + 1$
or, $f (x + 1) = 2 x^{2} - 11 x + 15$

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