# What is the domain of the function #f(x)=(x+1)/(2x-1)#?

With these sorts of functions the value of

So in this example

Therefore

Therefore the domain is

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The domain of the function ( f(x) = \frac{x + 1}{2x - 1} ) is all real numbers except ( x = \frac{1}{2} ), since the denominator cannot be zero. Therefore, the domain is ( {x \in \mathbb{R} : x \neq \frac{1}{2}} ).

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