Home
Class 12
MATHS
If the function f: R rarr R defined by...

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) = 2 f(x) f(y) `

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 :

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

A function f : R rarr R defined by f(x) = x^(2) . Determine (i) range of f (ii). {x: f(x) = 4} (iii). {y: f(y) = –1}

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

If f: R ->R is defined by f(x) = x^2- 3x + 2 , find f(f(x)) .

A function f : R to R is defined by f(x) = 2x^(3) + 3 . Show that f is a bijective mapping .

If f:R to R is defined by f(x) = x^(2)-3x+2, write f{f(x)} .

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to