Question

How do you find the domain of `g(t)= sqrt(1-2^t)`?

Answer 1

Assuming we are restricted to Real numbers:

`2^t > 1` for all `t>0`

`g(t)` is not defined for values of `(1-2^t) < 0`

That is
`g(t)` is only defined if `(1-2^t)>=0`
or
`t<=1`

The Domain of `g(t)` is `t epsilon (-oo,1]`