Answer:
- Domain: [tex][0, \infty)[/tex].
- Range: [tex][6, \infty)[/tex].
Step-by-step explanation:
[tex]\sqrt{x}[/tex] is defined only for non-negative values. So is the case when you add [tex]\sqrt{x}[/tex] to 6. The function [tex]f(x)[/tex] is defined for all non-negative values of [tex]x[/tex]. That is: [tex]x \in [0, \infty)[/tex]. 0 is allowed, hence the square bracket on the left end. Hence the domain of this function.
[tex]\sqrt{x}[/tex] gives values ranging from 0 to infinity. When you add 6 to [tex]\sqrt{x}[/tex], you should expect values no less than 6. That is: [tex][6, \infty)[/tex]. 6 is included. Hence the range of this function.
