Question

what is the domain of the function: f(x) = 6/(x-4)

Answer 1

we have f(x)= 6/(x-4)
x can't be 4 that'll make f(x) infinity
so domain is all real numbers except 4
R-{4}

Answer 2

technically not infinity, it'll be undefined

Answer 3

how do i state it correctly?

Answer 4

\[D=\left\{ x \neq4, x \in R \right\}\]

Answer 5

*D: {x≠4,x∈R}

Answer 6

thanks, can I just put \[\neq\] 4 ?

Answer 7

i mean x is not equal to 4

Answer 8

depends on what your teacher wants

Answer 9

well how do you do the work to see f(x) = 6/(x-4) please

Answer 10

?

Answer 11

i still don't totally understand domain, please help a bit more

Answer 12

domain is all the possible x values of a function which gives f(x) a value

Answer 13

you cannot divide a number by 0, because it will be undefined, thus f(x) won't be defined at that point

Answer 14

if x=4, f(x)=6/0 which is undefined

Answer 15

*f(4)=6/0 which is undefined

Answer 16

thank you, so I wrote that the answer is undefined

Answer 17

does that mean 6 divided by 6-4?

Answer 18

6/(4-4)

Answer 19

Take a look at, say, the first minute of this video. Note the two basic guidelines on what to watch for when finding domains.

http://www.youtube.com/watch?v=sbvSBH2Mo20