The equation is
.
Solve the above equation for
.

Square on both sides.
\

Divide each side by
.

\
.
For any input of
, we get only one output for
.
An input
.
Substitute
in
.

.
An input
.
Substitute
in
.


For any input of
, we get only one output for
.
So, the equation
defines
as a function of
.
The equation
is a function.