No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(0,15]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(0,∞)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(0,12]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B(0,15] Here, x∈R ⇒x2+4x+9=(x+2)2+5 =(x+2)2+5 Now −∞<x<∞⇒−∞<x+2<∞⇒0≤(x+2)2<∞⇒5≤(x+2)2+5<∞ ⇒0<1(x+2)2+5≤15 ∴1x2+4x+9∈(0,15]