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Polynomial Functions

The set value...

Question

The set values of $x$ for which function $f (x) = x ln x - x + 1$

(1, \infty)

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(\frac{1}{e}, \infty)

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[e, \infty)

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(0, 1) \cup (1, \infty)

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Solution

The correct option is A $(1, \infty)$
$f (x) = x ln x - x + 1$

we use the formula

${log}_{a} f (x) \Rightarrow f (x) > 0$

$\Rightarrow x > 0$

$∴ x > 0 \Rightarrow (1, \infty)$

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