Question

Which of the following domains provide a real value period?

Answer 1

We are given the following function:

`T=2\pi\sqrt{(L)/(g)}`

We are asked to determine the domain for a real-valued function.

This means we must determine which condition will ensure that the operation will yield a real number.

Since there is a radical this means that the value inside it must be always positive.

Also, inside the radical there is a rational function, therefore, the denominator must be different from zero. Therefore, the domain must be:

`g>0`

Therefore, the right option is the third option from top to bottom.