What is the domain of the function y = √x + 4 ? also: what is the domain of the function y= √x + 6 - 7 two separate equations

Hello from MrBillDoesMath!

Domain:  x >=0 for both cases

Discussion:

Assuming we are dealing with real valued functions, the domain of

y = x^(1/2) +4

is the set of all "x" such that x>= 0  (so we are taking the square root of a positive, or zero, real number)

The domain of  x^(1/2) +6 -7 is the same as for the last function  and for the same reason.

Thank you,

MrB