Answer:
D.
Step-by-step explanation:
An excluded value often comes from a zero in the denominator.
Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.
A.
2x^2 = 0
x = 0
excluded value
B.
3x + 3 = 0
3x = -3
x = -1
excluded value
C.
x² - 7 = 0
x² = 7
x = √7 or x = -√7
excluded values
D.
-x² - 5 = 0
x² = -5
x = √(-5) or x = -√(-5)
There is no real solution for x.
no excluded values
Answer: D
