1. Given that f:(x) 2x + 3, find f –1(x).

[2 marks]

2. If function find the object which is mapped onto itself.

[2 marks]

3. Given that function Find .

[2 marks]

4. Cari julat nilai-nilai x dengan keadaan 2x2 - 4x + 3 3x – 2

[2 marks]

5. Diberi dan adalah punca-punca untuk persamaan 5 + 4x – x2 = 0. Tentukan nilai bagi + dan .

[2 marks]

1

6. Diberi f:x 3x – 4. Cari ff(x)

[3 marks]

7. Determine the roots of the following quadratic equation:

[3 marks]

8. Form the quadratic equations from its roots:

[3 marks]

9. Find the range of values of p if the quadratic equation below has no real roots.

[3 marks]

2

10. If p and q are the roots of equation , form an equation with roots and 4q-1.

[3 marks]

11. Find the range of values of x if 6x2 + x 2.

[3 marks]

12. If m+1 and n-2 are the roots of the equation x(x+3)=10, find the possible values of m and n.

[3 marks]

13. The function has a maximum point of (2,-1). State the values of a and b.

[3 marks]

14. Find the range of values of x if

[3 marks]

3

15. Find the range of values of m if .

[3 marks]16. Given that 2 is a root of the quadratic equation , find the value of k.

[3 marks]

17. Given that , find

[3 marks]

18. Given that and , find the value of x such that gf(-x) = -34.

[3 marks]

19. Given that and . Find the value of m if

[3 marks]

4

20. Solve the equation x + 2 = .

[3 marks]

21. Given that the quadratic equation (a + 2)x2 – 6ax + 9 = 0 has two equal and real roots, find the possible values of a.

[4 marks]

22. Find the range of values of k such that the quadratic equation x2 + 3x = 1 – k has no real roots.

[4 marks]

23. Find the range of values of p if the quadratic equation 3x2 + 5x + p = 0 has two distinct and real roots.

[4 marks]

5

24. Given the functions , and , find the values of p and q.

[4 marks]

25. Given that g(x) = 3x – 2 and h(x) = 4x + 1, find g-1h.

[4 marks]

26. A function is defined by f(x) = a + bx. Given that f(-1) = 7 and f(3) = -13, find the values of a and b.

[4 marks]

27. Given that and are the roots of the quadratic equation 2x2 + 4x + p = 0 and -3 = 0, find the values of , and p.

[4 marks]

28. If and are the roots of the quadratic equation 3x2 – 4x + 6 = 0, form the

quadratic equation whose roots are + .

[4 marks]

6

29. Find the range of values of m if the straight line y = mx – 4 does not intersect the curve y = -4x2- 5.

[4 marks]

30. Show that the quadratic equation kx2 + (2k + 3)x + k = 0 has real roots if k .

[4 marks]

END OF QUIZ

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