The domain of the function defined by $f (x) =^{(7 - x)} P_{(x - 3)}$ is

{3, 7}

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{3, 4, 5, 6, 7}

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{3, 4, 5}

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{1, 2, 3, 4}

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Solution

The correct option is C ${3, 4, 5}$
$f$ is defined only if $7 - x \geq x - 3$ and $7 - x \geq 0$ .
$\Rightarrow x \leq 5$ and $x \geq 3$
$∴$ $f$ is defined at $x = {3, 4, 5}$

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