Hello, Gracy!

A minor (but important) change in your first answer . . .

Domain of

Domain: .

. . . . . . . ↑

Weincludethe

Domain of

That prime-mark is distracting, but we can ignore it.

Since is under a square root, it must be positive or 0.

But since it is in the denominator, it cannot equal 0.

Hence, we have: .

Domain: .