If `f(x+1/2)+f(x-1/2)=f(x)fora l lx in R ,` then the period of `f(x)` is 1 (b) 2 (c) 3 (d) 4

If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is (a) 1 (b) 2 (c) 3 (d) 4

If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is (a) 1 (b) 2 (c) 3 (d) 4

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is

If (x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R, then the period of f(x) is

If f(x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R then the period of f(x) is 1(b)2(c)3(d)4

If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) is (a) 1 (b) 2 (c) 3 (d) 4

If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) is (a) 1 (b) 2 (c) 3 (d) 4

If f(2+x)=a+[1-(f(x)-a)^4]^(1/4) for all x in R ,then f(x) is periodic with period

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2) (0) = 1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R . then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .