what is the domain function of y=√x+4
Answer:
The domain of the function is \([-4,\infty)\).
Step-by-step explanation:
Domain is the set of all possible inputs for which the function is defined.
The given function is
\(y=\sqrt{x+4}\)
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
\(x+4\geq 0\)
Subtract 4 from both the sides.
\(x+4-4\geq 0-4\)
\(x\geq -4\)
The domain of the given function is
\(Domain=\{x|x\geq -4\}=[-4,\infty)\)
Therefore the domain of the function is \([-4,\infty)\).