Find the domain of the function
f
(
x
)
=
5
x
−
7
\displaystyle {f{{\left({x}\right)}}}=\frac{{{5}}}{{{x}-{7}}}
f
(
x
)
=
x
−
7
5
{
x
∣
x
<
7
}
\displaystyle {\left\lbrace{x}{\mid}{x}\lt{7}\right\rbrace}
{
x
∣
x
<
7
}
{
x
∣
x
>
7
}
\displaystyle {\left\lbrace{x}{\mid}{x}\gt{7}\right\rbrace}
{
x
∣
x
>
7
}
{
x
∣
x
≠
7
}
\displaystyle {\left\lbrace{x}{\mid}{x}\ne{7}\right\rbrace}
{
x
∣
x
=
7
}
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