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Can someone pls help me out on this problem I'm confused

Can someone pls help me out on this problem I'm confused-example-1
User ROAL
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1 Answer

4 votes

Answer:

greater

Step-by-step 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:

  1. division by zero is not defined, so the denominator (x+2) cannot be zero
  2. 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"

User Jarrel
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