Question

What is the domain of the function

Answer 1

`√(5+x)` is defined as long as
`5+x\ge0`, or
`x\ge-5`. However,
`\frac1x` is undefined when
`x=0`. This point is contained in the set
`\x`, so we need to exclude it. We can write the domain in several ways.


`\x\ge-5~\land~x\\eq0\`

`-5\le x<0~\land~0<x<\infty`

`[-5,0)\cup(0,\infty)`