See attached
The expression simplifies to ...
... f(x) = (x-1)(x+4)/(x+4)
... f(x) = x -1 . . . . . . . . . x ≠ -4 . . . . . factors of x+4 cancel
The graph is that of the line
... y = x -1
with a "hole" at x=-4, y=-5, where the function is undefined (because the denominator is zero there).