Question

Which equation represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi times n comma where n is an integer?

Answer 1

The equation that represents a tangent function with a domain of all real numbers such that $x \ne \frac{\pi}2 + n \pi$ is $g(x) = \tan(n \pi - \frac{\pi}2)$

Domain

The domain of a function is the set of input values the function can take

The domain of the function is given as:

$x \ne \frac{\pi}2 + n \pi$

Undefined function

This means that, we determine the function that would be undefined when the input value equals

$x = \frac{\pi}2 + n \pi$

From the list of given functions, only function g(x) is undefined at $x = \frac{\pi}2 + n \pi$

Hence, the tangent function is $g(x) = \tan(n \pi - \frac{\pi}2)$

Read more about domain at:

brainly.com/question/1770447