Choose the function that expresses the relationship
9
x
+
6
y
3
=
8
\displaystyle {9}{x}+{6}{y}^{{3}}={8}
9
x
+
6
y
3
=
8
as a function,
y
=
f
(
x
)
\displaystyle {y}={f{{\left({x}\right)}}}
y
=
f
(
x
)
, if possible.
This equation cannot be expressed as a function
f
(
x
)
=
8
−
9
x
6
,
−
8
−
9
x
6
\displaystyle {f{{\left({x}\right)}}}=\sqrt{{\frac{{{8}-{9}{x}}}{{6}}}},-\sqrt{{\frac{{{8}-{9}{x}}}{{6}}}}
f
(
x
)
=
6
8
−
9
x
,
−
6
8
−
9
x
f
(
x
)
=
8
−
9
x
6
3
\displaystyle {f{{\left({x}\right)}}}={\sqrt[{{3}}]{{\frac{{{8}-{9}{x}}}{{6}}}}}
f
(
x
)
=
3
6
8
−
9
x
f
(
x
)
=
8
−
9
x
6
\displaystyle {f{{\left({x}\right)}}}=\frac{{{8}-{9}{x}}}{{6}}
f
(
x
)
=
6
8
−
9
x
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