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 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

Let f(x) be real valued continous funcion on R defined as f(x) = x^(2)e^(-|x|) Number of points of inflection for y = f(x) is (a) 1 (b) 2 (c) 3 (d) 4

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

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If f(x)=(e^x)/(1+e^x), I_1=int_(f(-a))^(f(a))xg(x(1-x)dx and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx , then the value of (I_2)/(I_1) is (a) -1 (b) -2 (c) 2 (d) 1

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

If f(x)=cos(logx), then value of f(x) f(4)-1/2{f(x/4)+f(4x)} is (a) 1 (b) -1 (c) 0 (d) +- 1

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

Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) is:? (a) 2x-1 (b) 2x+1 (c) x-1 (d) x+1