Question

If f(x)= 3/x+2-sqrt x-3, complete the following statement:

The domain for f(x) is all real numbers____ than or equal to 3.

Answer 1

all real numbers greater than or equal to 3

Explanation:

There's some ambiguity in your "3/x+2-sqrt x-3." I will assume that you meant:

3

---------- - sqrt(x - 3). Using parentheses often changes everything.

x + 2

Here we see that x cannot = -2, because x + 2 would be zero then. And x must be greater than or equal to 3, so that the input to the sqrt function will be 0 or greater. The domain for f(x) is all real numbers greater than or equal to 3. The prohibition against x = -2 has no bearing on the overall domain of this function.

Answer 2

The domain for f(x) is all real numbers GREATER than or equal to 3

Explanation: