Answer:
Domain is Set of all real numbers
Step-by-step 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.
[tex]h(x)=f(x)÷g(x)[/tex]
[tex]f(x)=x^2-8x+15[/tex]
[tex] =x^2-3x-5x+15[/tex]
[tex]=x(x-3)-5(x-3)[/tex]
[tex]=(x-5)(x-3)[/tex]
[tex]g(x)=(x-3)[/tex]
[tex]h(x)=\frac{f(x)}{g(x)}[/tex]
[tex]h(x)=\frac{(x-5)(x-3)}{(x-3)}[/tex]
[tex]h(x)=(x-5)[/tex]
Hence we see that h(x) is defined for every value of x
Domain is Set of all real numbers
