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Definition of Functions

If fx=2x-1,...

Question

If $f (x) = 2 x - 1, g (x) = x^{2}$ then $(3 f - 2 g) (x) =$

5 x - x^{2} + 9

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6 x - 5 x^{2} - 4

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2 x - x^{2} - 3

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6 x - 2 x^{2} - 3

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Solution

The correct option is C $6 x - 2 x^{2} - 3$
$3 f (x) - 2 g (x)$
$= 3 (2 x - 1) - 2 (x^{2})$
$= 6 x - 2 x^{2} - 3$

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