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

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x) , then period of f(x) can be

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)

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 (x )= (x-1) ^(4) (x-2) ^(3) (x-3) ^(2) then the value of f '(1) +f''(2) +f''(3) is:

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...... .

If f(x)=x^(1/3)(x-2)^(2/3) for all x, then the domain of f' is x in R-{0} b.{x|x:)0} c.x in R-{0,2} d.x in R

The function f:R rarr R satisfies f(x^(2))*f''(x)=f'(x)*f'(x^(2)) for all real x Given that f(1)=1 and f'''(1)=8, then the value of f'(1)+f''(1) is 2 b.4c.6d.8

If f(x) = | x | + [ x ] , then f( -3/2 ) + f( 3/2 ) is equal to : ( a ) 1 ( b ) -1/2 ( c ) 2 ( d ) 1/2