Question

What is the domain and range of `y= (sqrt (x+4))/x`?

Answer 1

`x\in[-4,0)uu(0,oo)`
`yin(-oo,oo)`

Explanation:

`x` cannot be less than -4 due to square root of a negative number.
`x` cannot be zero due to division by zero.

When `-4<=x<0`, `-oo<\y<=0`.
When `0<\x<\oo`, `0<\y<\oo`.