Find all numbers for which the rational expression is undefined?

3/9w+7

Can someone help me figure this out?

Is all of the 9w +7 supposed to be in the denominator, as in 3/(9w+7) ?

The expression is undefined when the denominator is zero.

yes the 9w+7 is in the denominator. so the answer is zero?

Sure! To determine the numbers for which a rational expression is undefined, we need to find the values of the variable that would cause a denominator of zero. In this case, the expression is 3/(9w + 7), so we need to find the values of 'w' that would make the denominator, 9w + 7, equal to zero.

To find this, we set the denominator equal to zero and solve for 'w':

9w + 7 = 0

Subtracting 7 from both sides:

9w = -7

Dividing by 9:

w = -7/9

Therefore, the expression 3/(9w + 7) is undefined when w is equal to -7/9.