Answer:
Domain is Set of all real numbers
Explanation:
1. Domain : It is the set of values for which our function is defined and it gives some value of f(x) for every value of x in it.
![h(x)=f(x)÷g(x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/n9bstgejgu6zv85z610qewekzaiudy5ic8.png)
![f(x)=x^2-8x+15](https://img.qammunity.org/2020/formulas/mathematics/high-school/71z9vlo5b71gpe4jfb5qe7tbqx21ufdvix.png)
![=x^2-3x-5x+15](https://img.qammunity.org/2020/formulas/mathematics/high-school/dixqqjobalnh8z16a8hx4rbc0s6w6o8rtz.png)
![=x(x-3)-5(x-3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/q4zhx6bmzv8jqefkxpahgiyp12a1c472au.png)
![=(x-5)(x-3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ktba1v4r4chl4wwlluysngonld2v7vcf0y.png)
![g(x)=(x-3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/n0twnz1n4mr1dsyr7c9zs658iijgkcltdf.png)
![h(x)=(f(x))/(g(x))](https://img.qammunity.org/2020/formulas/mathematics/high-school/oip3cnmtwh4myn204ham3z1qygdarrg6wu.png)
![h(x)=((x-5)(x-3))/((x-3))](https://img.qammunity.org/2020/formulas/mathematics/high-school/k6nm4vvoqmwg5k2hesu9wp1d42nsfj08z1.png)
![h(x)=(x-5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/prow3opetlg5boqz4emyahtjxbhq20w3je.png)
Hence we see that h(x) is defined for every value of x
Domain is Set of all real numbers