`f:R rarr R; f(x)` is continuous function satisfying `f(x) + f(x^2) = 2 AA x in R,` then f(x) is

f:R rarr R;f(x) is continuous function satisfying f(x)+f(x^(2))=2AA x in R, then f(x) is

If f:R rarr R is continuous function satisfying f(0) =1 and f(2x) -f(x) =x, AAx in R , then lim_(nrarroo) (f(x)-f((x)/(2^(n)))) is equal to

Let f(x) be a function satisfying f(x) + f(x+2) = 10 AA x in R , then

f: R^(+) rarr R is continuous function satisfying f(x/y)=f(x) - f (y) AA x, y in R^(+) . If f'(1) = 1, then

Let f:R rarr R be a continuous onto function satisfying f(x)+f(-x)=0AA x in R, If f(-3)=2 and f(5)=4 in [-5,5], then the equation f(x)=0 has

Let f:R rarr R be a continuous onto function satisfying f(x)+f(-x)=0AA x in R. If f(-3)=2 and f(5)=4 in [-5,5], then the minimum number of roots of the equation f(x)=0 is

Let f: R rarr R be a function satisfying 3f(x)+2f(-x)=x^(2)-x AA x in R ,then f(x) is

Let f:R rarr R be a continuous function such that |f(x)-f(y)|>=|x-y| for all x,y in R then f(x) will be

Let f: R rarr R be a function satisfying 3f(x)+2f(-x)=x^2-x AA x in R then f(x) is