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Q.

 Let fx=x-2 and g(x)=f(f(f(f(x))))(n times ). If equation gx=k, k0,2 has 8  distinct solutions than value of n is equal to 

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a

3

b

4

c

5

d

8

answer is B.

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Detailed Solution

 

 

 If  n=1 then  fx =x-2      , number of solutions =2 ;

   If  n=2 then   ffx=x-2-2 , number of solutions =4 ;

If  n=3 then  fffx=x-2-2-2, number of solutions =6;

  If n=4 then ffff  = x-2-2-2-2 ,number of solutions =8;

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