Let $f (x) = (x + 3) (x - 3)$ for any value of $x$ . Calculate the least possible value of $f (x)$ .

- 9

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- 3

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0

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3

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9

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Solution

The correct option is A $- 9$
As given $f (x) = (x + 3) (x - 3)$
By using $(a + b) (a - b) = a^{2} - b^{2}$
$\Rightarrow$ $(x + 3) (x - 3) = x^{2} - 3^{2} = x^{2} - 9$
Since, $f (x) = x^{2} - 9$ and the least possible value of $x^{2}$ is zero. then the least possible value of $f (x)$ is $0 - 9 = - 9$ .
Hence, option A is correct.

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