### Exercise

##### Question 1

Consider , , . Evaluate the following.

(a)

(b)

(c)

(d)

(e)

(f)

##### Question 2

Using the functions given in the previous question, explain why does not and cannot exist.

##### Question 3

Let and . Evaluate .

##### Question 4

Show the following function pairs are inverses:

(a) and

(b) and

(c) and

##### Question 5

Find the inverses of the following functions.

(a) , (b)

(c) , (d)

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