[" e-Techno Text Book "],[[" 23.A function whose graph is symmetrical about the y axis is given by "],[" 1) "f(x)=sin[log(x+sqrt(x^(2)+1))]," 2) "f(x)=(sec^(4)x+cos ecx)/(x^(3)+x^(4)cot x)],[" 3) "f(x+y)=f(x)+f(y)AA x,y in R," 4) "x^(2)]]

A function whose graph is symmetrical about the y axis is given by f(x)=sin[log(x+sqrt(x^(2)+1))]

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

Which of the following functions have the graph symmetrical about the origin? f(x) given be f(x)+f(y)=f((x+y)/(1-xy))f(x) given by f(x)+f(y)=f(x sqrt(1-y^(2))+y sqrt(1-x^(2)))f(x) given by f(x+y)=f(x)+f(y)AA x,y in R none of these

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

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

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

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

If f(x) = cos (log_(e) x) , then f(x)f(y) -1/2[f(x/y) + f(xy)] has value

A non-zero function f(x) is symmetrical about the line y=x then the value of lambda (constant) such that f^(2)(x)=(f^(-1)(x))^(2)- lambda x f(x) f^(-1)(x)+3x^(2)f(x) AA x in R^(+) is