find all numbers for which the rational expression is undefined (1/w-6)
I think it'd be just 6, I'm pretty sure..sort of.
To find the values for which the rational expression (1 / (w-6)) is undefined, we need to determine the values of 'w' that would make the denominator zero. In a rational expression, division by zero is undefined.
To solve for w in the denominator and find the values that make it zero, we set the denominator equal to zero and solve the equation:
w - 6 = 0
Adding 6 to both sides of the equation, we get:
w = 6
So, the value of 'w' that makes the expression undefined is 6. Therefore, the rational expression (1 / (w-6)) is undefined when w = 6.
The expression 1/w - 6 is undefined if its value is zero.
1/w - 6 = 0
1/w = 6
w = 1/6
so the expression is undefined if w = 1/6