If the function` f:R rarr R` defined by `f(x)=(3^(x)+3^(-x))/(2)`, then show that `f(x+y)+f(x-y)=2f(x)f(y)`

Similar Questions

Explore conceptually related problems

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

The function f:R rarr R defined as f(x)=(3x^2+3x-4)/(3+3x-4x^2) is :

The function f:R rarr R be defined by f(x)=2x+cosx then f

Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5 , then

The function f:R rarr R, f(x)=x^(2) is

A function f : R rarr defined by f(x) = x^(2) . Determine {y : f(y) = - 1}

If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]\

If f:R rarr R be a function defined as f(x)=(x^(2)-8)/(x^(2)+2) , then f is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

f:R-{0} to R is defined as f(x)=x+1/x then show that (f(x))^(2)=f(x^(2))+f(1)