![{ \qquad\qquad\huge\underline{{\sf Answer}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/qi2ni0fyqspe7dz4ijrzcwx1jjavq84f7i.png)
Here we go ~
Every value of x, for which y is defined and has a finite value is called domain of a function.
The given function is :
![\qquad \sf \dashrightarrow \: \cfrac{7x + 4}{13 - x}](https://img.qammunity.org/2023/formulas/mathematics/college/z79cebjtb32b5wwstgcvl1058pr4num8dv.png)
The value of x for which denominator isn't equal to zero are all included in domain of this function,
So,
![\qquad \sf \dashrightarrow \: 13 - x \\e0](https://img.qammunity.org/2023/formulas/mathematics/college/k8gg97yf1tmgy5ks9mpije47gs2enxfbjm.png)
![\qquad \sf \dashrightarrow \: - x \\e - 13](https://img.qammunity.org/2023/formulas/mathematics/college/skuokejbh671uu2okxsdnhdupb3o0elbyd.png)
![\qquad \sf \dashrightarrow \: x \\e13](https://img.qammunity.org/2023/formulas/mathematics/college/16c06rg511b8p3ljj5ce0e3yyykzmboapi.png)
Domain of given function :
![\qquad \sf \dashrightarrow \: D \in \: R - \{13\}](https://img.qammunity.org/2023/formulas/mathematics/college/jsdx6mj77fm9hbkts3sbcx2wmq2t5ezmj3.png)