If f(x) = x^2 and g(x) = sqrt(x), then isn't it true that g(f(x)) has a domain of all real numbers and a range of all x greater than or equal to zero? This doesn't agree with the book's answer. Also, when looking at the composition of g(f(x)), the algebra simplifies to x. However, if you graph by plugging into g(x) and then into f(x), you get the absolute value of x. What gives?

Thanks.

Bret Norvilitis

OPHS