I asked this question earlier and wasn't sure what the answer was. Find all numbers for which the rational expression is undefined?
3/9w+7
Can someone help me figure this out?
Is the answer 0?
Please be careful about parentheses when using a keyboard
(3/9)w + 7 undefined for w=0
[3/(9w)] + 7 undefined for w = 0
3/(9w+7) undefined for w = -7/9
there are no parentheses that's why i didn't put any in the problem
you have to add them when using computer keyboard or we have trouble being sure what you mean
with no parentheses, you have to mean
[3/(9w)] + 7 by order of operations rules
Whoa, I take that back
if there are no parentheses or other indication of what is numerator and what is denominator, you do the multipications and divisions left to right, and later additions and subtractions
(3/9) w + 7
never undefined
To find the numbers for which the rational expression 3/(9w + 7) is undefined, we need to determine the values of w that would make the denominator zero.
In this case, the denominator is 9w + 7. To find when this expression is equal to zero, we set the denominator equal to zero and solve for w:
9w + 7 = 0
Subtracting 7 from both sides, we have:
9w = -7
Finally, dividing both sides by 9, we find:
w = -7/9
Therefore, the value w = -7/9 is the only number for which the rational expression is undefined, as plugging it into the expression would result in division by zero.