Find functions of f•g, g•f, and their domains.

Question

f (x)=sqrtx-1, g (x)=x^2

Thank you very much

Answer 1

f◦g = √(g-1) = √(x^2-1)
You know that √n has domain n>=0. SO, you need (x^2-1) >= 0.

g◦f = f^2 = (√(x-1))^2 = x-1
I'm pretty sure you can handle that one, right?