If f(x) = (x/√1 -x2) ,then (fof) (x) =

Question

If f(x) = (x/√1 -x2) ,then (fof) (x) =  (A)  (x/√1 -x2) (B)  (x/√1 - 2 x2) (C)  (x/√1 - 3x2) (D) x

Tardigrade Admin · Accepted Answer

fof(x) = f(f(x)) = (f(x)/√1 - (f(x))2) = (x√1 - x2 /√1 - (x2)1 - x2) =(x/√1 - 2x2)

Q. If $f (x) = \frac{x}{1 - x ^{2}}$ ,then $(f o f) (x) =$