Find following

Question

(g•f)(x)  f(x)=square root x squared+1

g(x)=2x+1 

Answer 1

I'll assume you want to find "g of f"(x) and that f(x) = √(x² + 1). For "g of f"(x), just plug f(x) = √(x² + 1) into g(x) everywhere you see an x:

 

(g•f)(x) = g(f(x)) = 2(f(x)) + 1 = 2√(x² + 1) + 1