For instance, we have the function $y=-2(x+1)^2-10$.
$x=0$ is included in this functions domain. How can I say this mathematically, instead of typing out a sentence and saying that $x=0$ exists in the functions domain?
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1We often denote this as $x \in \text{Dom}\ f$. – James Sep 01 '14 at 22:41
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Some say $ x \in D(f)$.. – Ishfaaq Sep 01 '14 at 22:42
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1And still others use $x\in\mathop{\textrm{dom}} f$. – Michael Grant Sep 01 '14 at 22:49
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$0 \in f^{-1}[\mathbb{R}]$ – Hugh Sep 01 '14 at 23:16
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The domain of $f(x)=y$ is $D(f)=\mathbb{R}$,since there are no restrictions for $x$.So, $x=0$ is included at the domain of $f(x)=y$.
You can symbolize this like that: $x \in D(f)=\mathbb{R}$
evinda
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