Question

the range of f(x)=root 9sin^2 x - 30 sin x+25+10 is [a,b] then a+b=​

Answer 1

For real values of x

9−x

2

≥0

x

2

≤9

∣x∣≤3

−3≤x≤3

Hence,

xϵ[−3,3]

Thus range of f(x) is y

max

=3 while y

min

=0

Hence range is [0,3]

Therefore, b=3 and a=0

Hence, b−a=3−0 =3.

Answer 2

Answer:

ANSWER IN THE ATTACHMENT