Q.

If f is periodic, g is polynomial function, fgx is periodic, f2=3,  and  g4=7,  then  g6 is

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a

13

b

15

c

11

d

none of these

answer is C.

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Detailed Solution

From the given data, g(x) must be linear function.Hence, fx=ax+b.Also,  g2=2a+b=3   and   g4=4a+b=7.Solving,  we  get  a=2   and    b=-1.Hence,    gx=2x-1.Then,    g6=11.
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