What are the value ranges of X in the algebraic formula √ x + 1 / X and √ x + 1 / x

What are the value ranges of X in the algebraic formula √ x + 1 / X and √ x + 1 / x

The denominator is not equal to or greater than 0 under the root sign
therefore
√ x + 1 / 2 x
x+1>0
x>-1
X √ x + 1
x+1≥0,x≥-1
Denominator x ≠ 0
So x ≥ - 1 and X ≠ 0