SOLUTION: What values of x are excluded for the function f(x) = (x-1)/(x^2+1)?

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Question 178169: What values of x are excluded for the function f(x) = (x-1)/(x^2+1)?
Answer by solver91311(24713) About Me  (Show Source):
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The values of x that are excluded are any values that would cause the denominator to be zero.

So take the denominator of

and set it equal to zero:

which has no solutions over the real numbers. Hence, the domain of f is

Compare with

Here setting the denominator equal to zero yields:



which has two real solutions, namely 1 and -1. Therefore the the domain of g is