Question

f(x)=2x^1/2 , g(x) = 9x^2 what is the domain of g(f(x)) and why?

Answer 1

Domain of g(f(x)) is domain of g and domain of f.

Domain of g(x) is R
Domain of f(x) is \[x \ge 0\]

So Domain of g(f(x)) is \[x \ge 0\]

Answer 2

thanks