What is the domain of $f(x) = {(x - 1)/(x + 4)}$ ?

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Answer 1 · 2015-04-15T11:51:05

$f(x)=((x-1)/(x+4))$
has a domain of all values for which $f(x)$ is defined.

$f(x)$ is defined for all values of $x$ except the value that would cause the denominator to be $=0$

That is
the domain of $f(x)$
are all values except $(-4)$

In set notation
Domain of $f(x) = (-oo,-4)uu(-4,+oo)$

What is the domain of f(x) = {(x - 1)/(x + 4)}f(x) = {(x - 1)/(x + 4)}?