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LATIHAN CUTI PERTENGAHAN PENGGAL PERTAMA (BAB 1 DAN BAB 2)

PAPER 1

1.

g(x)x

0246

-2

k0

4

Diagram 2 shows the linear function .g

(a) State the value of k.

(b) Using the function notation, expressgin terms ofx. [2 marks]

2.

Diagram 3 shows the function0,:

+ x

x

kxxg

where kis a constant.

Find the value of k. [2 marks]

3.Given the function

1: + xxg, find the value ofxsuch that

2)( =xg. [2 marks]

4.Diagram 5 shows the graph of the function

62)( = xxffor domain

40 x.

1

2

1

3x

kx +

x

Diagram 2

Diagram 3

x4t0

6

f(x)

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LATIHAN CUTI PERTENGAHAN PENGGAL PERTAMA (BAB 1 DAN BAB 2)

State

(a) the value of t,

(b) the range of f(x) corresponding to the given domain.

[3 marks]

5. Given the function 12)( += xxf and kxxg = 3)( , find

(a) )2(f

(b) the value of k such that 7)2( =gf

[3 marks]

6.The following information is about the functiongand the composite function

2g .

Find the value of aand b.

[3 marks]

7.Given the function

0,21)( = xx

xf and the composite function

xxfg 4)( =.

Find

(a) )(xg

(b) the value of x when 2)( =xgf

[4 marks]

2

bxaxg : , where aand bare constant and b > 0

89:2 + xxg

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LATIHAN CUTI PERTENGAHAN PENGGAL PERTAMA (BAB 1 DAN BAB 2)

12.

Given the function

13)( += xxh

and 3)( x

xg =. Find

(a) )7(1h

(b))(1 xgh

[4 marks]

13.Given the function

23: xxfand 32:

2 xxg .Find

(a) )4(1f

(b)

)(xgf

[4 marks]

ANSWER (PAPER 1)

1 (a) 2=k 1

(b) 2)( =xxg 1

2

3

2

12

1

21 =

+

=

k

g

1

1=k 1

3 21 =+x or 2)1( =+ x 1

1=x 3=x 1

4 (a) When 0)( =xf , 062 =x 1

3=x

3= t 1

(b) Range : 6)(0 xf 1

5 (a) (a) 5)2( =f 1

(b) (b) 7)5( =g

7)5(3 = k 1

4

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LATIHAN CUTI PERTENGAHAN PENGGAL PERTAMA (BAB 1 DAN BAB 2)

2=k 1

6 )()(2 bxabaxg = 1

xbaba 2

+=92 =b and 8= aba 1

3=b 4=a 1

7 (a) xxg

4)(2

1=

1

0,

8

1)( = x

xxg

1

(b)

2

2

18

1

=

x

1

8

1=x

1

8 (a)3

7=

yx

1

3

7)(1 =

xxh

,

0x

1

(b)21)2(1 =h

1

9 (a) 5 1

(b) 4 1

10

5

1=y

x

1

5

1)3()(1

=

xxgf

1

5

4=x

1

11

3

hyx

+=

1

3

1=k

1

2

3=h

1

12 (a)3

1= yx

1

5

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LATIHAN CUTI PERTENGAHAN PENGGAL PERTAMA (BAB 1 DAN BAB 2)

23

17)7(1 =

=h

1

(b)

3

3

1

)(

1

=

x

xgh 1

9

1=x

1

13 (a)

3

2+=y

x

1

2)4(1 =f 1

(b) 3)23(2)(2 = xxgf 1

524182 += xx

1

6

1. Carikan julat nilai p jika persamaan 5x 3 2x2= p mempunyai dua punca berbeza.Find the range of values of p if quadratic equation 5x 3 2x2= p has two different roots.

8

1:

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LATIHAN CUTI PERTENGAHAN PENGGAL PERTAMA (BAB 1 DAN BAB 2)

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