Answers
Chapter 1
Exercise 1
1.1 ( a )
1.2 ( a )
|
f |
x
�
( x)
�
8
|
( b ) |
( i ) |
20 |
|
( ii ) |
159 |
|
|
x
�
|
f
�1 1
( x) �
�1 3
( b ) |
( i ) |
�
7
|
|
( ii ) |
4 |
1.3 |
( a ) |
12 |
( b ) |
( i ) |
96 |
|
( ii ) |
10 |
1.4 |
( a ) |
5 |
Exercise 2
( b ) 3a
2.1 ( a ) { y: y� 10 } ( b ) � 7 ( c )
2.2 ( a ) ( b ) 4 ( c )
2
� f 1 ( x) � 10 � x � 7 f x
2.3 |
( a ) |
h �
13
|
|
( b ) |
�
13
|
2
( ) � ( x � 4 ) � 24
� f 1 ( x) � x � 24 � 4
|
( c ) |
� x f 1 ( x) � �
13
4
|
2.4 |
( a ) |
( 1 , 0 ) |
( b ) 1
( c )
� f 1 ( x) � x � 4 � 3
Exercise 3
3.1 ( a )
3.2 ( a )
3.3 ( a )
3.4 ( a )
Exercise 4
4.1 ( a )
4.2 ( a ) g x
2
( ) � ( x �3 ) � 1
( b ) ( i ) p �� 2 ( ii ) q �� 6 g x
2
( ) � ( x �8 ) � 6
( b ) ( i ) p � 0 ( ii ) q � 206 g x ( b ) r � 3
( b ) ( � 2,10 )
2
( ) � �x
� 1
g x x x
2
( ) � 5 � 20 � 30
( c ) ( i ) p � 3 ( ii ) q �� 12
f �1 ( �2 ) � � 3 ( b ) ( f f)( 5 ) � 2 ( c ) Refer to solution f �1 ( 2 ) � 0 ( b ) ( f f)( 4 ) � 2
|
( c ) |
Refer to solution |
4.3 |
( a ) |
�2� x �
3
|
( b )
�1 �1 ( f f )( 1 ) � 3
|
( c ) |
Refer to solution |
4.4 |
( a ) |
�4� x �
3
|
( b )
Exercise 5
�1 �1 ( f f )( 3 ) � 4
( c ) Refer to solution
5.1 |
( a ) |
C�
12.5s
|
|
( b ) |
$ 325 |
|
( c ) |
�
$ 393
|
( d )
C � 0.4s
1 3 www . seprodstore . com
319