SOLUTION: Let G(x)=(x^2)/(x^2+4) and suppose that we write G(x)=f(h(x)), with h(x)=x^2. Then f(x)=Ax/(x+B),where A=______ B=_______

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Let G(x)=(x^2)/(x^2+4) and suppose that we write G(x)=f(h(x)), with h(x)=x^2. Then f(x)=Ax/(x+B),where A=______ B=_______      Log On


   

Question 363172: Let G(x)=(x^2)/(x^2+4) and suppose that we write G(x)=f(h(x)), with h(x)=x^2.
Then f(x)=Ax/(x+B),where
A=______ B=_______
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=%28Ax%29%2F%28x%2BB%29
f%28h%29=%28Ah%29%2F%28h%2Bb%29
.
.
G=f%28h%29
G=%28Ah%29%2F%28h%2Bb%29
G=%28Ax%5E2%29%2F%28x%5E2%2Bb%29
.
.
%28x%5E2%29%2F%28x%5E2%2B4%29=%28Ax%5E2%29%2F%28x%5E2%2BB%29
Comparing,
A=1
B=4