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Definition of Functions

The domain of...

Question

The domain of the finction $f (x) = \frac{1}{| 3 x - 27 |}$ is $R - {a}$ . Find $a$ .

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Solution

$f (x) = \frac{1}{| 3 x - 27 |} | 3 x - 27 | \neq 0 3 x - 27 \neq 0 3 x \neq 27 [3 x - 27 \neq 0, b e c a u s e i t i n d e n o m i n a t o r] x \neq 9 a = 9$

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