Trying to figure out how to find all numbers for which the rational expression is defined.

9/2z+5

Is the answer 0?

Trying to figure out how to find all numbers for which the rational expression is undefined.

9/2z+5

Is the answer 0?

I made a mistake in my typing when I asked the question earlier.

Generally, the rational expression will be undefined when the denominator is 0. Find all values for z which would result in the denominator being 0.

To find the numbers for which a rational expression is defined, you need to identify the values of the variable that would make the denominator of the expression equal to zero. In this case, the rational expression is 9/(2z+5).

To determine when the expression is defined, you need to solve the equation 2z+5 = 0 for z:

2z + 5 = 0
2z = -5
z = -5/2

Therefore, the rational expression 9/(2z+5) is defined for all values of z except for z = -5/2.

In summary, the rational expression is defined for all real numbers except for -5/2.