Question

What is the domain of f(x)= 1/x ?

Answer 1

Okay domain means the acceptable values of 'x' in the function, right?

Now, what is one value 'x' can't take in here - that is one value where the function is undefined?

Answer 2

all real numbers except the value of x that will make the function undefined...what do you think will make it undefined?

Answer 3

hmm coincidence @apoorvk -_-

Answer 4

Need a hint? Okay - "1/0" is undefined.

Answer 5

I know it can't be 0 I'm just not sure how to right it out.

Answer 6

write*

Answer 7

Yeah you are right - 'x' can't be zero. Okay so you want to learn the notations of how to write the range right?

Answer 8

**i mean the 'domain', sorry.

Answer 9

Yes

Answer 10

domain - all real numbers except 0

Answer 11

So you write \[\large x \in (-\infty, \infty) - \text{{0}} \]


here the 'epsilon' means ---> 'belongs to'
(a,b) ---> from 'a' to 'b' (and that 'a' and 'b' are not included)
'-' --> EXCEPT
{c,d} ---> nos. written curly brackets means that/those particular nos. only --> in this case only c and d. in our case {0} will mean '0' only.

So, what I wrote above translates to:- " 'x' BELONGS TO 'negative infinity' TO 'infinity' EXCEPT '0'.

Answer 12

i think some write it as \[ (-\infty , 0) U (0, \infty)\]

Answer 13

Also, you could simply write this as
\[x \in R - \text{{0}}\]


because basically what we mean is that 'x' can be any real except '0'.

Answer 14

i think i recall something like that....