For which values of x is the expression undefined?
start fraction, x, squared, minus, 36, divided by, x, plus, 2, end fraction
x+2
x
2
−36
The expression is undefined for x = -2 since division by 0 is undefined.
To find the values of x for which the expression is undefined, we need to identify any values of x that would result in division by zero since division by zero is undefined.
In this case, we have the expression (x^2 - 36) / (x + 2). The expression is undefined when the denominator, x + 2, is equal to zero because dividing by zero is not allowed.
So, to find the values of x for which the expression is undefined, we need to solve the equation x + 2 = 0. Solving this equation will give us the value(s) of x that make the denominator zero and therefore make the expression undefined.
Subtracting 2 from both sides of the equation, we get:
x = -2
Therefore, the expression is undefined for x = -2.
To find the values of x for which the expression is undefined, we need to identify any values of x that would make the denominator of the expression equal to zero. In this case, the denominator is x + 2.
Setting the denominator equal to zero:
x + 2 = 0
Now, solving for x:
Subtracting 2 from both sides of the equation:
x = -2
The expression is undefined when x is equal to -2, as it would result in dividing by zero.
Therefore, the expression is undefined for x = -2.