IDNLearn.com helps you find the answers you need quickly and efficiently. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

43. What is the value of [tex]$z$[/tex] such that [tex]$\frac{2}{z-3}$[/tex] is undefined?

Sagot :

To determine the value of [tex]\( z \)[/tex] that makes the expression [tex]\( \frac{2}{z-3} \)[/tex] undefined, we need to focus on the denominator of the fraction.

In mathematics, a fraction is undefined when its denominator is equal to zero, as division by zero is not allowed.

Given the expression [tex]\( \frac{2}{z-3} \)[/tex], the denominator is [tex]\( z-3 \)[/tex].

To find the value of [tex]\( z \)[/tex] that makes the denominator zero, we set the denominator equal to zero and solve for [tex]\( z \)[/tex]:

[tex]\[ z - 3 = 0 \][/tex]

Adding 3 to both sides of the equation gives:

[tex]\[ z = 3 \][/tex]

Thus, the value of [tex]\( z \)[/tex] that makes the expression [tex]\( \frac{2}{z-3} \)[/tex] undefined is [tex]\( z = 3 \)[/tex].