Question

What is the minimum value of [4x+3]<11

Answer 1

Answer:

Text Solution

12

10

8

non of these

Answer : 

D

Solution : 

We have 

f(x)=4x2−4x+11+sin3πxf(x)=4x2-4x+11+sin3πx 

⇒f(x)=4(x−12)2+10+sin3πx⇒f(x)=4(x-12)2+10+sin3πx 

we obsen that 4(x−12)24(x-12)2 takes its least value -1 

Hence f(x)f(x) attains its least value 9 at x=12x=12

hopefully this will help you