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What is the domain of sin -1 2x? a)(0,1) B) (-1,1) C) (-1/2,1/2) D) (-2,2)

What is the domain of sin-12x?
a)(0,1)
B) (-1,1)
C) (-1/2,1/2)
D) (-2,2)

Grade:12

1 Answers

Aditya Gupta
2081 Points
4 years ago
domain means the values of x at which the fn is defined.
for y= sin-12x to be defined, obviously |2x| needs to be less than 1 since 2x= siny.
so, |x| needs to be less than ½.
or x lies in (-1/2,1/2).
option C is correct.
kindly approve :)

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