Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Determine a function f satisfying the functional relation f(x) + f
=
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.

Sol. f(x) + f
=
= g(x) .......(i)
Replace x by
in equation (i)
f
+ f
= g
.......(ii)
Replace x by
in equation (i)
f
+ f(x) = g
.......(iii)
(i) – (ii) + (iii)
2f(x) = g(x) – g
+ g
=
–
+
= 
or f(x) = 
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