Find the domain:

h(x)=√(x+4)
How do I work this problem?

√u is defined only for u>=0

so, √(x+4) is defined only for (x+4) >= 0, or

x >= -4

the domain is thus all reals x >= -4

To find the domain of a function, you need to determine the set of all possible input values that the function can accept. In this case, we have the function h(x) = √(x + 4).

For the square root function, the value inside the square root (i.e., the radicand) must be non-negative because the square root of a negative number is not defined in the real number system.

To find the domain of h(x), we set the radicand x + 4 ≥ 0 and solve for x:

x + 4 ≥ 0
x ≥ -4

From this inequality, we can deduce that x must be greater than or equal to -4 for the function h(x) to be defined. Therefore, the domain of h(x) is all real numbers greater than or equal to -4, or in interval notation:

Domain: [-4, ∞)