SOLUTION: What is the domain and range of y=1/x+3 +3

Algebra ->  Graphs -> SOLUTION: What is the domain and range of y=1/x+3 +3      Log On


   

Question 1024904: What is the domain and range of y=1/x+3 +3
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B3=0
x=-3
THis value is excluded from the domain since it leads to division by zero.
Domain : (-infinity,-3)U(-3,infinity)
Range: (-infinity,infinity)

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is the domain and range of y=1/x+3 +3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The range is  (-infinity,3) U (3,infinity),  all real numbers except of  x=3  (a hole at x = 3).
See the plot at the figure below.



Figure. Plot y = 1%2F%28x+%2B+3%29+%2B+3.