SOLUTION: Find f and g so that h(x)= (f o g)(x). Neither function may be the identity function f(x) =x H(x)= ((5)/(x^2))+1

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Question 1046806: Find f and g so that h(x)= (f o g)(x). Neither function may be the identity function f(x) =x
H(x)= ((5)/(x^2))+1
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Do not choose this name, H%28x%29=+%28%285%29%2F%28x%5E2%29%29%2B1, if you already named the composed function h(x).

h%28x%29=+%28%285%29%2F%28x%5E2%29%29%2B1


More than just one possible way to choose functions f and g.

h%28x%29=%285%281%2Fx%5E2%29%2B1%29,

h%28x%29=%285%28g%28x%29%29%2B1%29, will take care of g%28x%29=1%2Fx%5E2.

That makes the outermost function f%28x%29=5x%2B1.