Question

what is the range of f(x) = sin√(4-x²)?​

Answer 1

Answer:

ANSWER

consider the given function ,

f(x)=sinlog

e

(

1−x

4−x

2

)

Now ,

for log

e

1−x

4x

2

to be defined

1−x

4−x

2

>0

1−x

4−x

2

>0

4−x

2

>0, x



=1 and 1−x>0

4−x

2

>0 1>x

4>x

2

x<1

x

2

−4<0

(x+2)(x−2)<0

−2<x<2

combining the two we get

−2<x<1

xϵ(−2,1)

Hence , the domain of the function is (−2,1)

Hence, this is the range of the function [−1,1]

Step-by-step explanation:

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