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Q.

Let  g:RR be given by  g(x)=3+4x. If  gn(x)=gogo....og(x) , ( g repeated n times) and  gn(x)=A+Bx then A and B are

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a

2n+11,2n+1

b

4n1,4n

c

3n,3n+1

d

5n1,5n

answer is B.

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Detailed Solution

gx=3+4x ggx=g3+4x=3+34+42x gggx=3+43+34+42x=31+4+42+43x =343-14-1+43x gnx=34n-14-1+4nx=4n-1+4nx A=4n-1,B=4n

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