The number of continuous functions on R which satisfy `(f(x))^(2)=x^(2)` for all `x in R` is

Let S be the set of real numbers p such that there is no nonzero continuous function f: R to R satisfying int_(0)^(x) f(t) dt= p f(x) for all x in R . Then S is

If a continuous function f satisfies int_(0)^(f(x))t^(3)dt=x^(2)(1+x) for all x>=0 then f(2)

Let f be a non-zero continuous function satisfying f(x+y)=f(x)f(y) for all , x,y in R . If f(2)=9 then f(3) 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