Answer:
greater
Explanation:
The problem is concerned with the domain of f(x). There are two features of the expression for f(x) that would put restrictions on the domain:
- division by zero is not defined, so the denominator (x+2) cannot be zero
- the square root is only defined for non-negative numbers, so the expression x-3 must be greater than or equal to zero
The restriction imposed by the denominator is ...
... x ≠ -2
The restriction imposed by the radical is ...
... x - 3 ≥ 0
... x ≥ 3 . . . . . . . . . add 3 to both sides of the inequality.
We note that if this latter condition is met, we are not concerned with the first condition, because we're assured that x will not be -2.
So, the word for the blank is the one that matches the meaning of "≥", which is "greater than or equal to"
