For which values of x is the expression undefined?
start fraction, x, squared, minus, 16, divided by, x, minus, 7, end fraction
x−7
x
2
−16
The expression is undefined when the denominator is equal to zero. Thus, the expression is undefined for x = 7.
The expression is undefined when the denominator, x - 7, equals zero.
To find the values of x for which the expression is undefined, we can set the denominator to zero and solve for x:
x - 7 = 0
Adding 7 to both sides:
x = 7
Therefore, the expression is undefined when x = 7.
To determine the values of x for which the expression is undefined, we need to identify any values of x that would make the denominator equal to zero.
In this case, the denominator of the expression is (x - 7). A denominator cannot be zero because dividing by zero is undefined in mathematics. So to find the values of x for which the expression is undefined, we need to solve the equation (x - 7) = 0.
Solving the equation:
x - 7 = 0
x = 7
Therefore, the expression is undefined when x = 7 because it would make the denominator equal to zero. For all other values of x, the expression is defined.