How does the domain of a function relate to its x-values?

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How does the domain of a function relate to its x-values?

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Answer 1 · 2014-11-20T16:22:25

The Domain of a function is exactly the set of values that the $x$ $x$ can equal.
If the Domain of a $f (x)$ $f(x)$ is $D_(f) = RR$ , to every $x$ in $RR$ , $f(x)$ is defined.
If the Domain of a $g(x)$ is $D_(g) = RR - {a}$ , $g(x)$ is only defined if $x!=a$ .

The function $f(x) = 1/x$ , is not defined for $x = 0$ , hence it's Domain equals $D_(f) = RR - {0}$ .

The function $g(x)=ln(x)$ , is not defined for $x<=0$ , hence, it's Domain equals $D_(g) = {x in RR | x>0}$ //

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How does the domain of a function relate to its x-values?

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