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If $f (x) = a x^{4} - b x^{2} + x + 5$ and $f (- 3) = 2$ , then $f (3)$ is

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$- 5$

$- 2$

$- 8$

answer is D.

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Detailed Solution

$f (x) = a x^{4} - b x^{2} + x + 5$

$f (- 3) = 2$

$\Rightarrow 81 a - 9 b + (- 3) + 5 = 2$

$81 a - 9 b = 0$

$f (3) = 81 a - 9 b + 3 + 5$

$= 0 + 8$

$= 8$

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