SOLUTION: Find (fog)(x)and(gof)(x) and the domain of each: f(x)=sqrt(x), g(x)=sqrt(x)

Algebra ->  Rational-functions -> SOLUTION: Find (fog)(x)and(gof)(x) and the domain of each: f(x)=sqrt(x), g(x)=sqrt(x)      Log On


   



Question 270164: Find (fog)(x)and(gof)(x) and the domain of each:
f(x)=sqrt(x), g(x)=sqrt(x)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find (fog)(x)and(gof)(x) and the domain of each:
f(x)=sqrt(x), g(x)=sqrt(x)
-----------
(fog)(x) = f[g(x)] = f[sqrt(x)] = sqrt[sqrt(x)] = x^(1/4)
-----
(gof)(x) follows the same pattern.
----------
Cheers,
Stan H.