Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) + 2f 
= 3x, x ≠ 0, and S = {x ∈ R : f(x) = f (–x)} ; then S
Text Solution
Verified by ExpertsThe correct answer is:
B
Sol. f(x) + 2f 
= 3x
S : f(x) = f(–x)
f(x) + 2f 
= 3x .....
x → f 
+ 2f(x) = 
.....
– 2 × –3f(x) = 3x – 
f(x) = 
– x
Now ¼vc½ f(x) = f(–x)
∴ 
– x = 
+ x 
= 2x
= x ⇒ x = ± 
Exactly two elements
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