If $f (x) = 5 x^{2} - 2 x - 1, t h e n f (x + h) - f (x)$ equals:

5 h^{2} - 2 h

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10 x h - 4 x + 2

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10 x h - 2 x + 2

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h (10 x + 5 h - 2)

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3 h

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Solution

The correct option is D $h (10 x + 5 h - 2)$
$f (x) = 5 x^{2} - 2 x - 1$
$f (x + h) = 5 (x + h)^{2} - 2 (x + h) - 1$
$f (x + h) - f (x) = 5 (2 x + h^{2}) - 2 (h)$
$= h (5 h + 10 x - 2)$

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