JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

f(x)=\sin ^2 x+\sin ^2\left(x+\frac{\pi}{3}\right)+\cos x \cos

\left(x+\frac{\pi}{3}\right)

and

g\left(\frac{5}{4}\right)=1

, then

(g \circ f)(x)

is equal to:

View answer and explanation

Correct option: A

Option A (1) is correct because after simplifying f(x), it becomes a constant value of 5/4, and g(5/4) is given as 1, thus (g o f)(x) = 1.

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