find all numbers for which the rational expression is undefinded

8/8z+7

I think the expression is undefined for all real numbers

Oops. If 8/(8z) + 7, then it is undefined only for z=0

In general, a rational expression is undefined where the denominator is zero.

If the fraction is 8/(8z) + 7 you are right.

If it is 8/(8z+7) then the answer is different.

Thank you steve

My pleasure. Now, go forth and solve similar problems with confidence!

I will try my best

To find the numbers for which a rational expression is undefined, you need to identify the values that would make the denominator of the expression equal to zero. In this case, the denominator of the expression is "8z + 7".

To determine when the expression is undefined, set the denominator equal to zero and solve for 'z'.

8z + 7 = 0

Subtract 7 from both sides:
8z = -7

Then, divide both sides by 8:
z = -7/8

Therefore, the expression is undefined when z is equal to -7/8.

In summary, the rational expression is undefined for the value of z = -7/8.