Let f(x)=a^x(a>0) be written as f(x)=f₁(x)+f₂(x)... | Functions | JEE Main

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JEE MAIN 2019

08-04-2019 S2

Question

Let $f(x)=a^x(a>0)$ be written as $f(x)=f_1(x)+f_2(x)$, where $f_1(x)$ is an even function and $f_2(x)$ is an odd function. Then $f_1(x+y)+f_1(x-y)$ equals:

Select the correct option:

A

$2 f_1(x) f_1(y)$

B

$2 f_1(x+y) f_1(x-y)$

C

$2 f_1(x+y) f_2(x-y)$

D

$2 f_1(x) f_2(y)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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