SOLUTION: find the domain g(x)=(8)/(4-3x)

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Question 310391: find the domain
g(x)=(8)/(4-3x)
Found 2 solutions by solver91311, Fombitz:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The domain of a rational function is all real numbers EXCEPT any number that would cause the value of the denominator to be zero. Take the denominator and set it equal to zero:



and then solve for



Therefore, must be excluded from the domain. Using interval notation, the domain is:



Or in set-builder notation:




John

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
All x except the value that makes the denominator zero since division by zero is undefined.
4-3x=0
-3x=-4
x=4%2F3
x:(-infinity,4%2F3) U (4%2F3,infinity)