f(x) + f(x + 4) = f(x + 2) + f(x + 6) and g(x) = then-

Maths Functions, Limits, Continuity and Differentiability General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

g(1) = g(5)

f(2) = f(10)

f(4) = g(7)

f(1) = f(6)

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b , c)

f(x) + f(x + 4) = f(x + 2) + f(x + 6)

put x → x + 2

f(x + 2) + f(x + 6) = f(x + 4) + f(x + 8)

⇒ f(x) = f(x + 8)

Now g(x) =

⇒ g'(x) = f(x + 8) – f(x)=0

⇒ g(x) is constant function

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