Question

What is the domain and range for the function below?

1/square root x+4

Answer 1

x+4>0
x>-4

Answer 2

\[1/\sqrt{x+4}\]

Answer 3

A square root must be >= 0
A denominator must be different than zero.
Combine those two into one and you get x+4 > 0 => x>-4

Answer 4

as the domain values get larger, the denominators follows and the fraction goes to 0; as the domain values approach -4, the denominator goes to 0, and so the fraction goes to +infinity, thus range is (0, +infinity)

domain is (-4, +infinity)