JEE Main 20198 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002
Let ƒ(x) = a^x
(a > 0) be written as
ƒ(x) = ƒ₁
(x) + ƒ₂
(x), where ƒ₁
(x) is an even
function of ƒ₂
(x) is an odd function.
Then
ƒ₁
(x + y) + ƒ₁
(x – y) equals