SOLUTION: Let f(x)=√(x+3 (sqrt(x+3) )and g (x)=x^2 )-1.Find fog and gof.

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Question 146847: Let f(x)=√(x+3 (sqrt(x+3) )and g (x)=x^2 )-1.Find fog and gof.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think these are your two equations.
f%28x%29=sqrt%28x%2B3%2Asqrt%28x%2B3%29%29
g%28x%29=x%5E2
For the first substitute x%5E2 wherever there is an x in f.
f(g(x))=sqrt%28x%5E2%2B3%2Asqrt%28x%5E2%2B3%29%29
Next, substitute f(x) whereever there is an x in g.
g(f(x))=%28sqrt%28x%2B3%2Asqrt%28x%2B3%29%29%29%5E2
g(f(x))=x%2B3%2Asqrt%28x%2B3%29