Question

Which number is NOT contained in the domain of function f if f(x)=x+2/x+3 - 1/x??

Answer 1

well. u have the function
\[\large f(x)=\frac{x+2}{x+3}-\frac{1}{x}. \]
u cannot have division by zero so u have to exclude the \(x\) such that
\[\large x+3=0\qquad\text{and/or}\qquad x=0 \]

Answer 2

i dont understand :(

Answer 3

Another way of stating the question is, where is the function undefined?

Answer 4

sorry, thats the way my teacher gave us the question. :/

Answer 5

do you think you can help?

Answer 6

I am just giving you an equivalent way of stating the question to help you understand it. Do you know how to find where the function is undefined?

Answer 7

no

Answer 8

Do you know that division by zero is undefined?

Answer 9

yes

Answer 10

So the question is, for which values of \(x\) is there division by zero. It is for these values that the function is undefined. Now refer to helder_edwin's answer. He discusses this in more detail.