Answer:

Answer:

We observe is defined for all .

Also is defined for all .

Therefore Domain

Now for for all except

Question 3: If be defined on and is given by

.

Answer:

Now for

Question 4: Let be two real functions defined by . Then, describe each of the following functions:

Answer:

We observe that

Similarly,

Now Domain

is defined by

v

will be real for all values of except for

Question 5: If , then determine each of the following functions:

Answer:

For is defined for all

For is defined for all

iii) Domain

will be real for all except

is real if

Question 6: If are real functions defined by , then find the values of .

Answer:

will be real for all

will be real for all except

will be real for all

does not exist as does not lie in domain

Question 7: The function f is defined by

Draw the graph of

Answer:

Question 8: Let be defined respectively by

Answer:

will be real for all

) will be real for all

is defined by

is defined by

Question 9: Let be defined by

Answer:

Domain

is defined as

is defined as

Question 10: Let be two real functions. Find

Answer:

will be real for all

Similarly, will be real for all

is defined as

is defined as

is defined as