Let `f: R rarr R `be a continuous function given by `f(x+y)=f(x)+f(y)` for all `x,y, in R,` if `int_0^2 f(x)dx=alpha,` then `int_-2^2 f(x) dx` is equal to

Let f: r in R be a contunuous function given be f(x+y)=f(x)+f(y)"for all " x,b y in R . If int_(0)^(2)f(x)dx=alpha,"then" int_(2)^(2)f(x)dx is equal to

Let f:R rarr R be a function given by f(x+y)=f(x)f(y) for all x,y in R .If f'(0)=2 then f(x) is equal to

LEt F:R rarr R is a differntiable function f(x+2y)=f(x)+f(2y)+4xy for all x,y in R

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

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 (x) be a conitnuous function defined on [0,a] such that f(a-x)=f(x)"for all" x in [ 0,a] . If int_(0)^(a//2) f(x) dx=alpha, then int _(0)^(a) f(x) dx is equal to

Let f:R rarr R be a continuous function and f(x)=f(2x) is true AA x in R .If f(1)=3 then the value of int_(-1)^(1)f(f(x))dx is equal to (a)6(b) 0 (c) 3f(3)( d) 2f(0)