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Gabriella Sellers

Gabriella Sellers

Answered question

2022-06-14

Find the range of f :   ( 0 , )     R :   x     sin ( 1 x )

Answer & Explanation

robegarj

robegarj

Beginner2022-06-15Added 24 answers

View sin ( 1 x ) as a composition of the functions
g :   ( 0 , )     ( 0 , ) :   x     1 x  and  h :   R     R :   x     sin ( x ) .
What is the range of h(x)? What does this tell you about the range of h(g(x))?
The range of h is [-1,1] even when h is restricted to positive values, then the range of h g will be also [-1,1].

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