Let "x" represent the number of hours Elisha works, if she gets paid $13 per hour, the amount she earns after working "x" hours can be expressed as $13x.
So the function that expresses he earnings is
![f(x)=13x](https://img.qammunity.org/2023/formulas/mathematics/college/zf3qr6ap5p3ajstns0of035f7s8zywcoyq.png)
Now, this is true only for values of x greater than or equal to 0, since it makes no sense for someone to work "negative hours" the variable x should not take negative values.
The restriction for the domain can be expressed as follows:
![\mleft\lbrace x|x\ge0\mright\rbrace](https://img.qammunity.org/2023/formulas/mathematics/college/jibaddj2xji72q0i2ldjvwodswewbb42n5.png)