Question

What value is not in the domain.
(x-2)/(x+3)

Answer 1

Critical values: the denominator can't equal zero because anything divided by zero is undefined.\[\frac{x-2}{x+3},x+3\ne 0\rightarrow x\ne -3\]

Answer 2

hint: \(\bf \cfrac{x-2}{x-3}\qquad {\color{brown}{ x=3}}\implies
\cfrac{x-2}{{\color{brown}{ 3}}-3}\implies \cfrac{x-2}{0}\impliedby undefined
\)

Answer 3

So is the answer -3?

Answer 4

yes

Answer 5

Yes :-)

Answer 6

Since division by 0 has no meaning in the set of real numbers.

Answer 7

Are you still confused? @chachi123