If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (f/g) (x)

Question

just give me the answer and explain to me how u got that answer

Answer 1

Hi Dylan,

 

(f/g)(x) = f(x)/g(x), f(x) = x² -25,  g(x) = x - 5

            =(x² -25)/(x-5)

            =(x + 5)(x - 5)/(x - 5)

            =(x +5)

the domain of (f/g)(x) is (-∞, +∞)