Which of the following functions have th...

Which of the following functions have the graph symmetrical about the origin? (a) `f(x)` given by `f(x)+f(y)=f((x+y)/(1-x y))` (b) `f(x)` given by `f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))` (c) `f(x)` given by `f(x+y)=f(x)+f(y)AAx , y in R` (d) none of these

Similar Questions

Explore conceptually related problems

A function whose graph is symmetrical about the origin is given by -(A)f(x+y)-f(x)+f(y)

Let f(x+y)+f(x-y)=2f(x)f(y)AA x,y in R and f(0)=k, then

Prove that f(x) given by f(x+y)=f(x)+f(y)AA x in R is an odd function.

If f (x) is an even function, then the graph y = f (x) will be symmetrical about

Let f(x)=|x-1|* Then (a) f(x^(2))=(f(x))^(2) (b) f(x+y)=f(x)+f(y)(c)f(|x|)-|f(x)| (d) none of these

Given the graph of y=f(x) . Draw the graphs of the followin. (a) y=f(1-x) (b) y=-2f(x) (c) y=f(2x) (d) y=1-f(x)

f((x)/(y))=f(x)-f(y)AA x,y in R^(+) and f(1)=1, then show that f(x)=In x

If f(x)+f(y)=f((x+y)/(1-xy))x>y in R,xy!=1,lim_(x rarr0)(f(x))/(x)=2. Find f(5),f'(-2)