1. `y=sqrt(x-8)`, find Domain of a function

Solution:
`y=sqrt(x-8)`

`x-8>=0`

`=>x-8>=0`

`=>x>=0+8`

`=>x>=8`

Domain : `x>=8`

Domain set is
Interval Notation : `[8,oo)`

Set-Builder Notation : `x>=8`

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2. `y=sqrt(x+2)/(x^2-9)`, find Domain of a function

Solution:
`y=sqrt(x+2)/(x^2-9)`

`x+2>=0`

`=>x+2>=0`

`=>x>=0-2`

`=>x>=-2`

`x^2-9=0`

`=>x^2-9=0`

`=>x^2=0+9`

`=>x^2=9`

`=>x=+- 3`

Domain : `x!=3,x!=-3`

Domain set is
Interval Notation : `[-2,3)uu(3,oo)`

Set-Builder Notation : `-2<=x< 3 or x>3`

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