JEE Main 2019 Mathematics question

Mathematics Definite Integration JEE Main 2019

Let , where g is a non-zero even function. If f(x + 5) = g(x), then equals:

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

f is odd, and g even gives f(5 + x) = f(5 − x). Since f(t) = g(t − 5):

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Question ID VK-009381