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

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


   



Question 911259: Express the function y=sqrtx^2+2 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x).
f(u) =
g(x) =

Answer by ichigo449(30) About Me  (Show Source):
You can put this solution on YOUR website!
Let u = x
Then f(u) = abs(u) + 2, where abs(x) is the absolute value function.
If, instead the 2 isn't added later then the decomp is:
u = x^2 + 2
f(u) = sqrt(u)