Question 1209949
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There is no function that satisfies the given condition.<br>
That is easily seen by observing that the expression on the left is symmetric in x and y but the expression on the right is not.  In other words, switching the values of x and y on the left gives the same result but switching them on the right does not.<br>
For example....<br>
(x,y) = (1,0)<br>
{{{f(1)*f(0)-f(0)=-2+0+10}}}
{{{f(1)*f(0)=f(0)+8}}}
{{{f(1)=(f(0)+8)/f(0)=1+8/f(0)}}}<br>
(x,y) = (0,1)<br>
{{{f(0)*f(1)-f(0)=0-6+10}}}
{{{f(1)*f(0)=f(0)+4}}}
{{{f(1)=(f(0)+4)/f(0)=1+4/f(0)}}}<br>
{{{1+8/f(0)}}} is never equal to {{{1+4/f(0)}}}<br>