The function x is defined for 1<= x <= 5 as follows

Look at he graph, here: https://www.desmos.com/calculator/lgnpwgfwaj

There are two occurences when f(x)  = x

In the third function......f(x)  = x  when x =   3 + 1/3 

And in the fourth function, f(x)  = x when x = 5