Domain of Variable/Examples/Arbitrary Example 1

Example of Domain of Variable

Let $f$ be the function:

$\map f x = \dfrac 1 {\sqrt {4 - x^2} }$

The domain of $f$ is the open interval $\openint {-2} 2$, that is, where $-2 < x < 2$.

Sources

• 1973: G. Stephenson: Mathematical Methods for Science Students (2nd ed.) ... (previous) ... (next): Chapter $1$: Real Numbers and Functions of a Real Variable: $1.3$ Functions of a Real Variable: $\text {(b)}$ Interval of Definition $(1)$