# Find the domian of the following fractions. No symplifying the equations. PS

Find the domian of the following fractions. No symplifying the equations.
$$\displaystyle{f{{\left({x}\right)}}}{\frac{{{1}}}{{{\left({x}-{3}\right)}{\left({x}-{5}\right)}}}}$$

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Asma Vang

For domain of given function
Denominator $$\displaystyle\ne{0}$$
$$\displaystyle\therefore{\left({x}-{3}\right)}{\left({x}-{5}\right)}\ne{0}$$
$$\therefore x \ne 3, x \ne 5$$
$$\displaystyle\therefore{x}\in{\left(-\infty,{3}\right)}\cup{\left({3},{5}\right)}\cup{\left({5},\infty\right)}$$
or domain is all real numbers except 3 and 5.