JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f(x)=a^x(a>0)

be written as

f(x)=g(x)+h(x)

, where

g(x)

is an even function and

h(x)

is an odd function then the value of the

g(x+y)+g(x-y)

is :

View answer and explanation

Correct option: A

2 g(x) g(y)

Option A (

2 g(x) g(y)

) is correct because it is the result of correctly simplifying the expression

g(x+y) + g(x-y)

using the definitions of

g(x)

and

h(x)

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