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

Rivka Thorpe 2021-10-02 Answered
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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Expert Answer

Asma Vang
Answered 2021-10-03 Author has 15152 answers

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.

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