Let
f
(
x
)
=
1
x
−
2
\displaystyle {f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}-{2}}}}
f
(
x
)
=
x
−
2
1
and
g
(
x
)
=
5
x
+
3
\displaystyle {g{{\left({x}\right)}}}={\frac{{{5}}}{{{x}}}}+{3}
g
(
x
)
=
x
5
+
3
.
Find the domain of the composition
f
(
g
(
x
)
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right.}}}
f
(
g
(
x
)
.
The domain of
f
(
g
(
x
)
)
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}
f
(
g
(
x
)
)
is all real numbers except
x
=
\displaystyle {x}=
x
=
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