[" A continuous function "f(x)" on "R rarr R" satisfies the relation "],[f(x)+f(2x+y)+5xy=f(3x-y)+2x^(2)+1" for "AA x,y in R," then "],[" the value of "|f(4)|" is "]

A continuous function f(x) on R rarr satisfies the relation f(x)+f(2x+y)+5xy=f(3x-y)+2x^(2)+1 for AA x,y in R. Then find f(x)

A continuous function f(x)onR->R satisfies the relation f(x)+f(2x+y)+5x y=f(3x-y)+2x^2+1forAAx ,y in R Then find f(x)dot

A continuous function f(x)onR->R satisfies the relation f(x)+f(2x+y)+5x y=f(3x-y)+2x^2+1forAAx ,y in R Then find f(x)dot

Let a continuous function f(x) on R rarr R be defined such that it satisfies the relation f(x)+f(x+2y)+3xy=2f(2y-x)+2y^(2)AA x,y in R Then which of the following is true

" A function "f:R rarr R" satisfies the equation "f(x)f(y)-f(xy)=x+y" and "f(y)>0" ,then "f(x)f^(-1)(x)=

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f : R→R satisfies the equation f(x)f(y) - f(xy) = x + y ∀ x, y ∈ R and f (1)>0 , then