Final answer:
The domain of the composition of f(x) = √x and g(x) = 2x + 1 is all real numbers.
Step-by-step explanation:
The composition of two functions can be represented as f(g(x)). In this case, we have f(x) = √x and g(x) = 2x + 1. To determine the domain of the composition, we need to find the values of x that are allowed for both functions.
Since the square root function is defined only for non-negative values of x, the domain of f(x) is x ≥ 0.
For the function g(x) = 2x + 1, there are no restrictions on the domain.
To find the domain of the composition f(g(x)), we need to consider the values of x that satisfy both x ≥ 0 and any real number. Therefore, the domain of the composition is all real numbers.