What is the domain of $f (x) = \frac{5}{x - 9}$ $f(x) = 5/(x-9)$ ?

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What is the domain of $f (x) = \frac{5}{x - 9}$ $f(x) = 5/(x-9)$ ?

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Answer 1 · 2015-09-21T05:29:46

${x ∣ x \neq 9}$ ${x|x!=9}$

Explanation:

The domain is the set of values of $x$ $x$ for which the function is defined. The function $f (x) = \frac{5}{x - 9}$ $f(x)=5/(x-9)$ , will only be undefined if the denominator is 0. Simply look for the value of $x$ $x$ that will make the denominator 0.

$x - 9 = 0$ $x-9=0$
$x = 9$ $x=9$

The domain is the set of all real numbers except for 9.
${x ∣ x \neq 9}$ ${x|x!=9}$

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What is the domain of $f (x) = \frac{5}{x - 9}$ $f(x) = 5/(x-9)$ ?

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Explanation:

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What is the domain of $f (x) = \frac{5}{x - 9}$ $f(x) = 5/(x-9)$ ?