Let \(f(x)=\frac{1}{2x-5}\). Find the largest \(x\) which is not in the domain of \(g(x)=f(f(x))\).
Help is appreciated!!!
f ( f(x) ) = 1 1
_______________ = _________________ =
2 ( 1/ (2x -5) ) - 5 2/ (2x - 5) - 5
2x - 5 2x - 5
______________ = ________
[ 2 - 5(2x - 5)] 27 -10x
The denominator cannot = 0
27 -10 x = 0
27 = 10x
x = 27 /10 is not in the domain
CORRECTED !!!!!