Page 196 - Mathematics_Form_3

Answers

(b) y
Revision exercise 2
4

3 1. (a) 10, 7, 5
h( x ) =|5x-10|
2 (b) 11, 1, 9− −
FOR ONLINE READING ONLY
1 22
(c) 1 , ,0
-1 0 1 2 3 4 5 x 33
-1 2. y
5
(3, 4) (4, 4)
4
Exercise 2.8
3 (4, 3)
1. No inverse 2
x
2. Has an inverse; f − 1 ( ) x = − 2, Itisa function 1 (2, 1)
x + 2
3. Has an inverse; f − 1 ( ) x = , It is a function (0, 0)
3 -1 0 1 2 3 4 5 x
 9  -1
4. (a) Range =  : yy ≥− 
 4 
(b) y 3.
3
2 -2 -3
g(x)=x +x-2
2
1 1
-1
-2 -1 0 1 2 3 4 x 1 2
-1
2 4
-2
-3
4. (a) y
(c) Function ()gx is not one to one
when domain is  3
1 1 2
(d) x ≥− or x ≤− f(x)=2|x+1|-1 Mathematics for Secondary Schools
2 2 1
5. f − 1 ()x = x 2 , x ≥ 0
6. f − 1 ( )x = x + 2, x ≥ 0 -3 -2 -1 0 1 2 3 x
-1
7. F − 1 = {(3, 2), (4, 3), (5, 4), (6, 7) }
-2
8. f − 1 ()x = x
9. f − 1 ( )x =± x + 2, x ≥− 2 Domain = { :xx∈ }

x
10. f − 1 ( )x = −− 1, x ≥ 0 Range = { :yy ≥− } 1

Student\s Book Form Three 189

18/09/2025 10:00:12
MATHEMATIC F3 SB.indd 189 18/09/2025 10:00:12
MATHEMATIC F3 SB.indd 189