f(x) = 4x - 28

g(x) = x ^ 2 - 4x - 21

The domain of ( f g )(x)is x =

(f/g)(x) = = Box

Find(f/g)(x)

1 answer

the domain is all reals except where g(x) = 0
That is x ≠ -3,7

(f/g)(x) = f(x)/g(x) = (4x-28)/(x^2-4x-21) = 4(x-7) / (x+3)(x-7) = 4/(x+3) for x≠7
Note that f/g is still undefined for x = -3