Question

The domain of the function f (x) = $lo{g}_{10}\mid 4-x^2\mid$ is.

Answer 1

$f\left(x\right)=lo{g}_{10}|4-x^2|$

The domain of the function is then set of all

values of x such that $|4-x^2|>0$

the expression $|4-x^2|$ is positive for all

real value except for $x=2,$ which

makes it zero. Hence the domain of

the given function is the set of all values

except 2, which can written as

$(-\infty ,2)\cup (2,+\infty )$

$\therefore$ Domain $=(-\infty ,2)\cup (2,+\infty )$