If f is periodic, g is polynomial function, f(g(x)) is periodic, g(2) = 3, and g(4) = 7 , then g(6) is

From the given data, g(x) must be linear function.Hence, g(x) = ax + b. Also, g(2)=2a+b=3 and g(4)=4a+b=7Solving, we get a=2 and b=−1Hence, g(x)=2x−1Then, g(6) = 11.