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Chapter 7: Q. 50 (page 451)

Find the exact value, if any, of each composite function. If there is no value, say it is "not defined". Do not use a calculator.

sinsin-1-2.

Short Answer

Expert verified

The composite functionsinsin-1-2is not defined.

Step by step solution

01

Step 1. Given Information.

The composite function is,sinsin-1-2.

02

Step 2. Finding the value.

The property of inverse sine function is,

f(f-1(x))=sinsin-1x

=x where -1猢�x猢�1.

The value -2does not lie in the interval [-1,1]which is the domain of the inverse sine function.

The composite functionsinsin-1-2is not defined.

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