+885 Let\(f(x)=\frac{1}{x-3} \) . Find the largest \(x\) that is not in the domain of \(g(x)=f(f(x))\).
+129852 f(f(x)) = 1 1 x - 3
___________ = ____________ = _________
[1 / {x - 3)] -3 [ 1 - 3(x - 3)] 10 - 3x
___________
(x - 3)
The numerator has no effect on the domain
The domain will be all x's except those where 10 - 3x = 0
So....the domain includes all x's except x = (10/3)
See the graph here : https://www.desmos.com/calculator/yovhfn2ymb
