For what value of x is the following undefined: X^2+4/x-4
it is undefined when the denominator is zero
x-4=0
x=4
To find the value of x that makes the expression undefined, we need to identify the values that cause a division by zero error because division by zero is undefined in mathematics.
In the given expression, the denominator is x - 4. For the expression to be undefined, the denominator must be equal to zero since dividing any number by zero is undefined.
So, we can set x - 4 equal to zero and solve for x:
x - 4 = 0
Adding 4 to both sides:
x = 4
Therefore, the expression is undefined when x = 4 because dividing by zero occurs.