For which values of x is the expression undefined?
start fraction, x, squared, minus, 16, divided by, x, plus, 8, end fraction
x+8
x
2
−16
The expression is undefined when the denominator, x+8, equals zero and cannot be divided by. Thus, x cannot be equal to -8.
To determine the values of x for which the expression is undefined, we need to find the values that make the denominator equal to zero. In this case, the denominator is x + 8.
So, we set x + 8 equal to zero and solve for x:
x + 8 = 0
Subtracting 8 from both sides, we get:
x = -8
Therefore, the expression is undefined when x is equal to -8.
To find the values of x for which the expression is undefined, we need to look for any values that would cause division by zero.
The expression is undefined when the denominator, which is x + 8, equals zero. So, we need to solve the equation:
x + 8 = 0
To solve for x, we can subtract 8 from both sides of the equation:
x = -8
Therefore, the expression is undefined when x = -8.