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

1. ash2326

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}

2. anonymous

technically not infinity, it'll be undefined

3. anonymous

how do i state it correctly?

4. anonymous

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

5. anonymous

*D: {x≠4,x∈R}

6. anonymous

thanks, can I just put $\neq$ 4 ?

7. anonymous

i mean x is not equal to 4

8. anonymous

depends on what your teacher wants

9. anonymous

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

10. anonymous

?

11. anonymous

12. anonymous

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

13. anonymous

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

14. anonymous

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

15. anonymous

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

16. anonymous

thank you, so I wrote that the answer is undefined

17. anonymous

does that mean 6 divided by 6-4?

18. anonymous

6/(4-4)

19. Directrix

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