Can anybody help me with the explanation

Answer:
see explanation
Step-by-step explanation:
[tex]f(3)[/tex] means the y-coordinate of the point [tex](3, y)[/tex] that lies on [tex]f(x)[/tex].
Aha! Now we have a path to the solution!
We can test random values for [tex]y[/tex], such as [tex](3, 1)[/tex], [tex](3, 2)[/tex], or even [tex](3, 1000)[/tex].
This leads us to drawing lines.
Answer: We draw the line [tex]x=3[/tex](equivalent of testing out random points), and where it intersects the graph of [tex]f(x)[/tex]! is our answer!
(Note: it can only intersect once, otherwise it would fail the vertical line test and wouldn't be a function)