Respuesta :
Using it's concepts, it is found that for the real function [tex]f(x) = \frac{1}{1 - x^2}[/tex].
- The domain is all real numbers except x = -1 and x = 1.
- The range is all real values except x = 0.
What are the domain and the range of a function?
- The domain of a function is the set that contains all the values of the input.
- The range of a function is the set that contains all the values of the output.
The function is:
[tex]f(x) = \frac{1}{1 - x^2}[/tex]
It is a fraction, hence the denominator cannot be zero, so:
[tex]1 - x^2 \neq 0 \rightarrow x^2 \neq \pm 1[/tex]
So the domain is all real numbers except -1 and 1.
The numerator is never 0, hence the range is all real numbers except zero.
More can be learned about the domain and the range of functions at https://brainly.com/question/27887009
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