Question

Let f(x)=√4x and g(x)=x+6, whats the smallest number that is the domain of f^o g?

Answer 1

f(x) = √(4x)
g(x) = x + 6

(f ο g)(x) = f(g(x))
(f ο g)(x) = √(4(x + 6))
(f ο g)(x) = 2√(x + 6)

The smallest number that is the domain of (f ο g)(x) is -6.