Determine the value or values of the variable where the expression is defined.
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A) all real numbers except x = -9
B) all real numbers except x = 0
C) all real numbers except x = 9
D) all real numbers

Question

Determine the value or values of the variable where the expression is defined.
-
A) all real numbers except x = -9 
B) all real numbers except x = 0 
C) all real numbers except x = 9 
D) all real numbers

Quizplus · Accepted Answer

The expression in the given format suggests that it is a rational expression which has a denominator of x-9. Therefore, we need to exclude the values of x for which the denominator becomes zero. This happens only when x = 9. Thus, the expression is defined for all real numbers except x = 9. Hence, the correct answer is C) all real numbers except x = 9. The expression includes a denominator of (x - 9), therefore the expression is undefined when x = 9. The expression is defined for all other real numbers. Therefore, the correct choice is C) all real numbers except x = 9.

Determine the Value or Values of the Variable Where the Expression