The equation that represents a tangent function with a domain of all real numbers such that [tex]x \ne \frac{\pi}2 + n \pi[/tex] is [tex]g(x) = \tan(n \pi - \frac{\pi}2)[/tex]
Domain
The domain of a function is the set of input values the function can take
The domain of the function is given as:
[tex]x \ne \frac{\pi}2 + n \pi[/tex]
Undefined function
This means that, we determine the function that would be undefined when the input value equals
[tex]x = \frac{\pi}2 + n \pi[/tex]
From the list of given functions, only function g(x) is undefined at [tex]x = \frac{\pi}2 + n \pi[/tex]
Hence, the tangent function is [tex]g(x) = \tan(n \pi - \frac{\pi}2)[/tex]
Read more about domain at:
https://brainly.com/question/1770447
