Let be a function such that for every real number

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f(x)

be a function such that

2f(x)+f(-x)=\cos x

for every real number

x

. The value of

f(\pi)

is equal to: (a) 0 (b)

-\frac{1}{2}

(c)

-\frac{1}{3}

(d)

-1