Answer:
The domain of the transformed function is:
[0,∞)
Step-by-step explanation:
We know that the domain of a function is the set of all possible values where the function is defined i.e. the possible x-values.
Now we are given a parent function f(x) as:
Now, it is given that the function f(x) is transformed three units downward.
So, the resulting function g(x) is given as:
Hence, the function g(x) is defined for all x≥0.
( Since, the square root function is not defined for negative real numbers and for rest values it is defined)
Hence, the domain is given as:
[0,∞)