Question

I need help with this problem. I do not know how to solve this one.

Consider the functions:  f(x) = square root 3(x-1),  g(x) = x^3+1

Now find each of the following if possible
(a) fog
(b) gof
(c) (fog)(0)

Answer 1

`f \circ g=√(3(x^3+1-1))=√(3x^3)\\ g \circ f=(√(3(x-1)))^3+1=3(x-1)√(3(x-1))+1\\ (f \circ g)(0)=√(3\cdot0^3)=\sqrt0=0`