Question

How do you find the domain and range of `y= sqrt (x+4)/x`?

Answer 1

Domain is any real value with `x >= -4 and x != 0`
Range is any real value except `0`.

Explanation:

`y =sqrt (x+4)/x`. for finding domain under root should not be less than zero and denominator should not be zero.
Domain: `(x+4) >= 0 or x >= -4 and x != 0`

Domain (value of x) is any real value with `x >= -4 and x != 0`
Range (value of y) is any real value except `0`. graph{(x+4)^0.5/x [-10, 10, -5, 5]}