Find the domain of a function: G(x)=8/8-5x

Question

mertsj · Answer

all real numbers not equal to 8/5

jim_thompson5910 · Answer

You cannot divide by zero, so 8-5x can't be zero


If it were, then 8-5x = 0 means that x = 8/5


So when x = 8/5, the denominator 8-5x is zero


So this means that we must remove this value from the domain.


So the domain is the set of all real numbers except x cannot equal 8/5

anonymous · Answer

x is a real number and x$$\neq 0$$

jim_thompson5910 · Answer

close, more like x is a real number and $$\Large x \neq \frac{8}{5}$$

anonymous · Answer

oh ok...i got confused with the equal sign with that slash through it...thank you Jim

jim_thompson5910 · Answer

np

anonymous · Answer

question. so with this i would have the open signs on each end correct ( )?

jim_thompson5910 · Answer

are you referring to using interval notation?

anonymous · Answer

yes

jim_thompson5910 · Answer

yes, you would use parenthesis and the domain in interval notation is 


$$\Large \left(-\infty,\frac{8}{5}\right)\cup\left(\frac{8}{5},\infty\right)$$

anonymous · Answer

thats is what i got, however, i am a little confused on one part..i have to choose the right domain and this is what i have.
$$ a. [x \ge8/5], b.  {x \neq8}, c. [x \neq8/5], or d. {x \neq0}$$

jim_thompson5910 · Answer

it's choice C

anonymous · Answer

c would be my answer correct?

jim_thompson5910 · Answer

yep, you nailed it

jim_thompson5910 · Answer

basically x can be any number but 8/5

anonymous · Answer

thats what i thought..i did have my answer, just confused sometime with those signs { } and [ ].

anonymous · Answer

thanks bunches again. aloha

jim_thompson5910 · Answer

well {} refers to sets

jim_thompson5910 · Answer

and [] is used in interval notation

jim_thompson5910 · Answer

C is the closest even though the [] should be {}

anonymous · Answer

oh ok, i will write that for my notes, i am new to this algebra1, never taken algebra ever..TY

jim_thompson5910 · Answer

np

anonymous · Answer

right, thats what i got :)

jim_thompson5910 · Answer

it should be $$\{x \neq \frac{8}{5} \}$$

jim_thompson5910 · Answer

sry the symbol didn't show up, but you got the idea

anonymous · Answer

i wonder why it would have [ ] instead of { }?

anonymous · Answer

yes.

jim_thompson5910 · Answer

typo perhaps

anonymous · Answer

haha, i get those at times

jim_thompson5910 · Answer

lol that's why it's important to not always trust the computer

anonymous · Answer

exactly

anonymous · Answer

i got one more problem, its a word problem..i will post a new one, its been mind boggling for me

jim_thompson5910 · Answer

k