Find (f/g)(x) and state the domain of the new function.
F(x)=1/√x ; g(x)=4 √x
(f/g)(x) = f(x)/g(x) = (1/√x) / (4√x) = 1/(4x)
the domain appears to be all reals ≠ zero.
But, since the function is built from f(x) and g(x), it is undefined for x ≤ 0
So the domain is all real x > 0