If f(x)=3x+2x−3f(x) = \frac{3x+2}{x-3}f(x)=x−33x+2, determine the fixed points of the function f(f(x))f(f(x))f(f(x)).
All real numbers except x=3x=3x=3
Only x=1x=1x=1 and x=−2x=-2x=−2
The function f(f(x))=xf(f(x)) = xf(f(x))=x for all x≠3x \neq 3x=3
No fixed points exist