Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Given 2 functions f and g which are integrable on every interval and satisfy
(i) f is odd, g is even
(ii) g(x) = f(x + 5)
A
f(x – 5) = g(x)
B
f(x – 5) = – g(x)
C
D
– 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
g(x) = f(x + 5) from (ii)
⇒ g(–x) = f(– x + 5)
⇒ g(–x) = – f(x – 5) from (i)
∴ choice is true ; is ruled out.
further I = 
∴ I = 
( f(t) = g(t – 5))
= 
( g is even)
∴ Choice is correct ; ruled out
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