SOLUTION: For the given functions f an g find the following and state the domain of each result f(x)=(4x+1)/(5x-9);g(x)=(2x)/(5x-9)

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Question 846030: For the given functions f an g find the following and state the domain of each result
f(x)=(4x+1)/(5x-9);g(x)=(2x)/(5x-9)
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%284x%2B1%29%2F%285x-9%29

The domain of f(x) includes all the points where f(x) is defined.
f(x) is undefined only when the denominator %285x-9%29=0 i.e. x=9%2F5.

So domain of definition of f(x) is given by union of (-infinity,9%2F5) and (9%2F5,infinity).

In similar lines, solve for g(x). Cheers!!!