f(x)={\begin{matrix}x+1 & \mathrm{if}x\mathrm{is}odd \\ x & \mathrm{if}x\mathrm{is}even\end{matrix}
∵g:A→ A such that g(f(x))=f(x)
⇒ If x is even then g(x)=x…(1)
If x is odd then g(x+1)=x+1…(2)
from (1) and (2) we can say that g(x)=x if x is even
⇒ If x is odd then g(x) can take any value in set A
so number of g(x)=105×1