Published by:
CGP EDU Academic Team
Published on: August 11, 2026
D is domain and R is range of f(x) = 
+ 2 
, then
A
D : [1 , 3] ;
B
D : (– ∞ , 1] ∪ [3, ∞ ),
C
R : 
D
R : 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,d)
(i) f(x) = 
+ 2 
D : x – 1 ≥ 0 & 3 – x ≥ 0 ⇒ x ∈ [1, 3]
Range : f ′ (x) = 
– 
= 0 or f ′ (x) = 0 at x = 
f ′ 
> 0 & f ′ 
< 0 ⇒ maxima at x = 
;Range: 
(i) f(x) = 
+ 2 
D : x – 1 ≥ 0 & 3 – x ≥ 0 ⇒ x ∈ [1, 3]
f ′ (x) = 
– 
= 0 f ′ (x) = 0 x = 
f ′ 
> 0 & f ′ 
< 0 ⇒ x = 
: 
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