How do you find the domain of $f (x) = -1 / ( x + 3)$ ?

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Answer 1 · 2018-03-19T12:24:35

The domain of a function is a set of all x, for which the function exists or $f$ be defined

In our case, the only value for $f(x)$ does'nt exist is $-3$

En efect: if $x=-3$ then $f(-3)=-1/(-3+3)=-1/0$ . There is no number which multiplied by 0 gives -1

For this reason the domain is $dom(f(x))={x in RR // x!=-3}$

How do you find the domain of f (x) = -1 / ( x + 3)f (x) = -1 / ( x + 3)?