" If "f

int_(a)^(b-a)f''(x+a)dx equals (a) f(b-a)-f(a) " " (b) f(b)-f(2a) (c) f'(b)-f'(2a) " " (d) f'(b-a)-f'(2a)

Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a =f (3),b=f(1)+f (3), c=f (2)+f (3),

A function f is such that f(x+1)=f(x)+f(1)+1 for all real values of x . Find f(0) If it is given that f(1)=1, find f(2),f(3) and f(-1) .

Transformation of f(x) into -f(-x);-f(x) and f(-x)'

The formula of mode is....a) L+[(f_1-f_0)/(2f_1-f_0-f_2)] xxh b) L-[(f_1-f_0)/(2f_1-f_0-f_2)] xxh c) L+[(f_1-f_0)/(2f_1-f_0+f_2)] xxh d) L+[(f_1-f_0)/(2f_2-f_0-f_2)] xxh

Let f(x) is a polynomial of degree four satisfying f(15)=7 and f(6)=f(8)=f(7)=f(9)=11, then f(1)-f(2)+f(3)-f(4)+.........+f(13)f(14)+f(15) is equal to.

Let f(x) =x^(2) -1 Find f^(@) f (ii) f^(@) f^(@) f

Let f be a function such that f(x+f(y))=f(f(x))+f(y) forall x, y in R and f(h)=h for 0 where epsilon >0 , then determine f'(x) and f(x).

If a function 'f' satisfies the relation f(x)f^('')(x)-f(x)f^(')(x) -f^(')(x)^(2)=0 AA x in R and f(0)=1=f^(')(0) . Then find f(x) .