Answer:
D) [0, ~)
Step-by-step explanation:
Domain of a Function:
the domain of a function is the set of values of x, the independent variable, that are responsible for the graph of the function.
For Example:
suppose, we have a function:
f(x) = 3x - 1
and it's domain is {1, 2, 3}
that means, the corresponding value of f(x) to these 3 values of x will be DEFINED, I.e., they exist and can be plotted on a graph.
The given function:
Therefore, for the given function, it's domain will be those values of x(the ones plotted on the horizontal line), that give some value to the function ,i.e., for which we can draw it's graph.
and since the graph starts from x = 0 and continues towards infiinity
(the arrow on the curve shows that the graph continues and hasn't yet come to a stop.)
So, that way we got [0, ~). ^^
