Suppose f(x) = ln x for all positive x and g(x) = 9-x^2 for all real x, domain and range of f(g(x)) is?

Answer 1

f(g(x)) = ln (9-x^2)
9 - x^2 >0
9> x^2
|x| < 3 is domain
range is - infinity < y < ln(9)