The domain and range of the function are:
The domain is x ≥ 3.
The Range is: f(x) ≥ -3
How to find the domain and the range?
The domain of a function is the set of all possible input values for which the function can be defined, while the range is the set of all possible output values generated by the function.
The function is given as:
f(x) = -3 + √(4x - 12)
Now, we can see that any value of x less than 3 will create a negative root which is not a real number.
Thus, the domain is x ≥ 3.
At the minimum value of x, f(x) = -3. Thus:
Range is: f(x) ≥ -3