The domain of the given function is: [0, ∞]
How to find the domain of the function?
The domain of a function refers to the set of all possible input values, while the range refers to the set of all possible output values generated by the function. In other words, the domain represents the x-values, and the range represents the y-values of a function.
The function is given as:
f(x) = √x - |x|
We know that x cannot be negative because a negative square root results in an imaginary number.
Thus: x ≥ 0
Thus, the domain of the function is: [0, ∞]