Read Domain and Range of a Function from the Algebra I curriculum for a basic introduction to domain and range.
EXAMPLE:
Find the domain of $\displaystyle\,g(x) = \frac{\sqrt{x3}}{x5}\,$.
SOLUTION: $x3\not\lt 0\ \text{ and }\ x5\ne 0$ $x3\ge 0 \ \text{ and }\ x5\ne 0$ $x\ge 3\ \text{ and }\ x\ne 5$ $\text{dom}(g) = [3,5) \cup (5,\infty)$ 
SOLUTION: Graph $\,f\,$ by starting with $\,y = x\,$, shifting it right $\,5\,$ and up $\,3\,$. $\text{ran}(f) = [3,\infty)$ 
On this exercise, you will not key in your answer. However, you can check to see if your answer is correct. 
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