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If f(x)=2x^(3)-3x^(2)+1 then number of d...

If `f(x)=2x^(3)-3x^(2)+1` then number of distinct real solution (s) of the equation `f(f(x))=0` is/(are) `k` then `(7k)/(10^(2))` is equal to_______

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Verified by Experts

The correct Answer is:
`00000.21`
Roots of the`f(x)=0` are `alpha in(-1,0)` and 1
then `f(f(x))=0` (where `f(x)=t)`
`f(t)=0impliest=alpha,1`
So, total number of distinct real solutions `=2+1=3`
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