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Let f(x)=sin^-1x . Then the domain of f(x) is [-1,1] and the range is all real numbers.

True or False?

 Mar 21, 2020
 #1
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True, as the inverse sine allows any x value between -1 and 1(that's the max and minimum of sine). The range is also all real numbers, as sine can go negative or positive.

 Mar 21, 2020
 #2
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I agree! This is true. The inverse sin allows the max and minimum x value between the domain.

 

We know from f(x)=sin^-x that the range is all real numbers since x can be any real number.

 

Hope this helped!

 Mar 21, 2020

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