**Q4: **

Given that the function , and the function , determine in its simplest form, and find its domain.

- A , domain
- B , domain
- C , domain
- D , domain
- E , domain

**Q5: **

Given that the function , and the function , find in its simplest form, then determine .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q6: **

Given that the function , and the function , express in its simplest form, and find its domain, then evaluate .

- A , domain,
- B , domain,
- C , domain,
- D , domain,
- E , domain,

**Q7: **

For and , express in the form with suitable numbers for and .

- A
- B
- C
- D
- E

**Q8: **

Let . Which of the following functions are the correct and , if ?

- A ,
- B ,
- C ,
- D ,

**Q9: **

Let be one-to-one and onto, and let be one-to-one. What is the most that can be said about ?

- AThe image of and the image of are the same.
- B and are inverses.
- C is onto.
- D is one-to-one.

**Q10: **

An oil spill grows with time such that the shape resulting remains the same but has an increasing diameter . If the area of the spill is given by as a function of the diameter, and the diameter is given by as a function of time , what does represent?

- A the area of the spill as a function of the radius
- B the area of the spill as a function of time
- C the area of the spill as a function of the diameter
- D It does not represent anything.
- Ethe area of the spill multipled by the diameter

**Q11: **

Let and be maps. Which of the following statements is true?

- AThe domain of is .
- B and are inverses.
- C
- DIf is , then and are both onto.

**Q12: **

Given that the function , the function , and the function , determine , , and .

- A , ,
- B , ,
- C , ,
- D , ,

**Q13: **

If the function , and the function , find the domain of .

- A
- B
- C
- D
- E

**Q14: **

If the function , where , and the function , determine the domain of .

- A
- B
- C
- D
- E

**Q15: **

If , and , find the domain of .

- A
- B
- C
- D

**Q16: **

If and , then .

- A
- B
- C
- D

**Q17: **

Given , , and , evaluate .

**Q18: **

If the function and the function , find an expression for in its simplest form and determine its domain.

- A ,
- B ,
- C ,
- D ,

**Q19: **

Let , , and and suppose that , , , , , and . Which of the following represents ?

- A
- B
- C
- D

**Q20: **

Given and , evaluate .

- A25
- B125
- C1
- D100

**Q21: **

If the function , where , and the function , determine the domain of .

- A
- B
- C
- D
- E

**Q22: **

Suppose that and .

Find .

- A
- B
- C
- D
- E

Given that , find in terms of and .

- A
- B
- C
- D
- E

**Q23: **

Suppose that and . Find, in the simplest form, and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q24: **

If the function , and the function , find in the simplest form.

- A
- B
- C
- D

**Q25: **

Which of the following pairs of functions , satisfy ?

- A ,
- B ,
- C ,
- D ,