Quotient of two functions

Question

Suppose that the functions f and g are defined as follows.

 

f(x)=x-2    g(x)=x-2/x-8

 

Find f/g. Then, give its domain using an interval or union of intervals. Simplify your answers.

Answer 1

(x - 2)/((x -2)/x - 8)) = (x - 2)((x - 8)/(x - 2)) = x - 8

 

Domain: {-∞,∞}