[" 18.Letf: "R rarr R" be a finden stat fl "(2-x)=f(2+x)" and "(4-x)=f(4+x)" ,for all "x in R" and "y^(2)" in "],[" Then the value of "f(x)" x "b" : "]

Let f:R rarr R be a function such that f(2-x)=f(2+x) and f(4-x)=f(4+x), for all x in R and int_(0)^(2)f(x)dx=5. Then the value of int_(10)^(50)f(x)dx is

Suppose f:R rarr R is a function f(1)=2,f(2)=6 and f(x+y)=f(x)+kxy-2y^(2) for all x,y in R then

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 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 be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , then f^-1 (2) is equal to

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

If f(x)=4x-x^2 for all x in R , then the value of f(a+1)-f(a-1) is:

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,