Examples :- If `x;yin{1;2;3;4}`;then which of the following are function in the given set ? `(a) f_1={(x;y):y=(x+1)} (b) f_2={(x;y):y4 (d) f_4={(x;y):x+y=5}`

Examples :- If x,y in {1;2;3;4} ;then which of the following are function in the given set ? (a) f_1={(x;y):y=(x+1)} (b) f_2={(x;y):x+y>4} (c) f_3={(x,y):y

Let y=f(x) be a function such that f'(x)=x^(3) and the line x+y=0 is tangent to the graph of f(x) then which of the following alternative(s) is/are correct? f(0)=-(3)/(4) (b) f(1)=1f(-1)=1 (d) f(3)=21

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)

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

Given the function f (x) =(a ^(x) + a ^(-x))/(2), a gt 2, then f (x+y) + f(x -y) =

If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^(2)y-y^(3))AA x,y in R and f(1)=2 ,then

Let f(x) be a function such that f(x)*f(y)=f(x+y),f(0)=1,f(1)=4. If 2g(x)=f(x)*(1-g(x))