Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Relations and Functions Composition of Functions
If \({\rm{g}}\left( {\rm{x}} \right) = \frac{1}{{{\rm{f}}\left( {\rm{x}} \right)}}\) and f(x) = x, x ≠ 0, then which one of the following is correct?
1
f(f(f(g(g(f(x)))))) = g(g(f(g(f(x)))))
2
f(f(g(g(g(f(x)))))) = g(g(f(g(f(x)))))
3
f(g(f(g(g(f(g(x))))))) = g(g(f(g(f(x)))))
4
f(f(f(g(g(f(x)))))) = f(f(f(g(f(x)))))