Let \(f(x)=\frac{1}{x-3}\). Find the largest \(x\) that is not in the domain of \(g(x)=f(f(x))\).
f ( f ( x) ) = 1 x - 3 x - 3
_____________ = ____________ = _______
(1 / (x -3)) - 3 1 - 3 (x - 3) 10 - 3x
The x not in the domain of f (f(x)) is
10 - 3x = 0
10 = 3x
10 / 3 = x