Science:Math Exam Resources/Courses/MATH101/April 2008/Question 01 (c)/Solution 1

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From the question, we immediately see that

Now, to determine , notice that we have that the function is of the form

The only composition of functions is underneath the square sign. So we must have that

and hence that

As , we have that and hence since

we have that . Combining the above gives

which completes the question.