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Let f(x)=a^(x)(a gt 0) be written as f(x...

Let `f(x)=a^(x)(a gt 0)` be written as `f(x)=f_(1)(x)+f_(2)(x), " where " f_(1)(x)` is an function and `f_(2)(x)` is an odd function. Then `f_(1)(x+y)+f_(1)(x-y)` equals

A

`2f_(1)(x) f_(1)(y)`

B

`2f_(1)(x+y) f_(1)(x-y)`

C

`2f_(1)(x) f_(2)(y)`

D

`2f_(1)(x+y)f_(2)(x-y)`

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A
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