Answer:
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined. To determine the domain of the function f(x) = √(x+2), we need to consider any restrictions or limitations on the input values.
In this case, the function involves taking the square root of (x+2). The square root function is defined for non-negative real numbers. This means that the expression inside the square root, x+2, must be greater than or equal to zero in order for the function to be defined.
To find the domain, we set x+2 ≥ 0 and solve for x:
x+2 ≥ 0
x ≥ -2
So the domain of the function f(x) = √(x+2) is all real numbers greater than or equal to -2. In interval notation, we can express this as (-2, ∞). This means that any x-value greater than or equal to -2 is included in the domain of the function.
To summarize, the domain of the function f(x) = √(x+2) is x ≥ -2, or in interval notation (-2, ∞).