You can
put this solution on YOUR website! 
i appears there's a vertical asymptote at x = -1.
the following table helps show that.
x y = log(2,x+1)
-2 #NUM!
-1 #NUM!
-0.9999 -16.60964047
-0.9 -3.321928095
-0.8 -2.321928095
-0.7 -1.736965594
-0.6 -1.321928095
-0.5 -1
0 0
1 1
2 1.584962501
3 2
4 2.321928095
5 2.584962501
6 2.807354922
7 3
8 3.169925001
9 3.321928095
you cannot take a log of a negative number of or 0.
that is why the first 2 values in the table are invalid.
that is why the graph stops as just to the right of x -1
log (x+1) will be log(0) when x is equal to -1.
