Analysis and Approaches for IBDP Maths Ebook 2 | Page 280

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Answers
Chapter 1
Exercise 1
1.1 (a) x � 1
(b) 0�x
� 1
1.2 (a)
16 16
x � or x ��
5 5
(b)
16
2 � x �
5
1.3
3
0�x
� 1 or x �
2
1.4 x �� 5
Exercise 2
2.1 (a) Refer to solution
(b)
3
x � or x � 2
4
2.2 (a) Refer to solution
(b) 0 and 2
2.3 (a) a � 1
(b) Refer to solution
2.4 (a) Refer to solution
(b) 1
Exercise 3
2
16x
�1
3.1 (a) ( f g)( x)
�
2x
(b) Refer to solution
(c) { y: y� 4}
3.2 (a) Refer to solution
(b)
� 1 �
�y:
y��
�
� 4�
3.3 (a) Refer to solution
(b) a � 0 , a �� 0.9 or a � 0.9
(c) y � 0
3.4 (a) Refer to solution
(b)
5
y �
9
(c)
2 2
x � , x ��
9 9
Exercise 4
4.1 (a) { x: x� 7}
(b)
f ( x) �12 � x 2
�1 1
4.2 (a) { x: x� 2}
(b)
(c)
4.3 (a)
�1 3
f ( x) � 8�
x
1
2
� 1 �
�x: � � x�
4�
� 2 �
x �
(b) f ( x)
�
2
(c) g( x) �2x
� 3
�1 1
4.4 (a) { x: �5 � x�
3}
(b)
(c)
Exercise 5
5.1 Refer to solution
5.2 Refer to solution
5.3 Refer to solution
5.4 Refer to solution
�
f 1 ( x) � � 5� x � 3
1
g( x) � � 5 � x � 3
2
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