Question

Given the function g(x)=√x+4, which of the following values cannot be the domain of g?

A. X=1
B. X=2
C. X=12
D. X=-5

Answer 1

D. x = -5

Explanation:

The square root function is only defined for non-negative arguments. For the function ...

`g(x)=√(x+4)`

this means we must have ...

x +4 ≥ 0

x ≥ -4 . . . . . . subtract 4 from both sides

All of the numbers on your answer choice list are more than -4 except -5.

x = -5 is not in the domain of g(x)