SOLUTION: Find functions f and g so that f of g = H H (x)= square root of x^2+4 Please help with this problem

Algebra ->  Functions -> SOLUTION: Find functions f and g so that f of g = H H (x)= square root of x^2+4 Please help with this problem       Log On


   

Question 823701: Find functions f and g so that f of g = H
H (x)= square root of x^2+4
Please help with this problem
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
CORRECTED COPY

Hi, there--

Sometimes there is more than one solution to these. Basically, you work backwards.

H(x) = sqrt(x^2 + 4) = f(g(x)) 

f(g(x)) = sqrt(g(x))

f(x) = sqrt(x)

g(x) = x^2 + 4



Hope this helps!
Mrs. Figgy