SOLUTION: Express the function y= sqrtx^2+5 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x). I got g(x)= x^2+5 and f(x)= sqrtx

Algebra ->  Functions -> SOLUTION: Express the function y= sqrtx^2+5 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x). I got g(x)= x^2+5 and f(x)= sqrtx       Log On


   

Question 940596: Express the function y= sqrtx^2+5 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x).
I got g(x)= x^2+5 and f(x)= sqrtx
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
That's correct, since f(g(x)) = f(x^2 + 5) = sqrt(x^2 + 5).

However the answer is not unique. For example g(x) = x^2 and f(x) = sqrt(x+5) also works.