If $f(x)=\frac{a^x+a^{-x}}{2}$ and $f(x+y)+f(x-y)=K f(x)$ $f(y)$ then $K$ is equal to

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f(x)=\frac{a^x+a^{-x}}{2}

and

f(x+y)+f(x-y)=K f(x)

f(y)

then

K

is equal to

View answer and explanation

Correct option: A

Option A (2) is correct because substituting the given function into the equation and simplifying leads to K = 2.

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