The statement: The inverse of f(x) is a function is:
True Statement.
<h2>Step-by-step explanation:</h2>
The necessary condition that guarantees that a inverse of a function is again a function is:
<em> " The function must be a one-to one function "</em>
Otherwise the inverse may not be a function.
From the given graph of the function we see that the function is a one-to-one function as it passes the horizontal line test i.e. any line passing through the co-domain and parallel to x-axis should intersect the graph atmost once.
Yes, the inverse of the given function F(x) is again a function.