SOLUTION: State the domain of the function given. f(x)=35/(2x-1)

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Question 717617: State the domain of the function given.
f(x)=35/(2x-1)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%22f%28x%29%22%22%22=%22%2235%2F%282x-1%29
No denominator can ever equal to 0, so we must exclude any number(s)
from %28matrix%281%2C3%2C%0D%0A%0D%0A-infinity%2C%22%2C%22%2Cinfinity%29%29 for which a denominator equals to 0.

To find out what number(s) to exclude from %28matrix%281%2C3%2C%0D%0A%0D%0A-infinity%2C%22%2C%22%2Cinfinity%29%29 we set the denominator equal to 0, and
solve for x:

2x-1 = 0
  2x = 1
   x = 1%2F2

So therefore the domain is:

%28matrix%281%2C3%2C%0D%0A%0D%0A-infinity%2C%22%2C%22%2C1%2F2%29%29U%28matrix%281%2C3%2C%0D%0A%0D%0A1%2F2%2C%22%2C%22%2Cinfinity%29%29

[Notice that the numerator 35 has no effect on the domain,
and it could have been anything.  We just ignore it.]

Edwin