## Transcribed Text

(a)
Given the functions ((x)=3x-x+10 and g(x)=1-5x. Solve the
following operations:
i.
f(x)+3g(x)
(3 marks)
ii.
g(x)-f(x)
(3 marks)
iii. f(x)g(x)-2f(x)
(4 marks)
(b)
Given the functions f(x) =3x-2 and 2
3
3
i.
gg(10)
(5 marks)
II.
g f(x)
(3 marks)
value of K when f(k) 10
(3 marks)
IV.
the domain and range of g(x).
(4 marks)
3.
1+,5
(a)
Simplify
in the form of a b/c where a,b,ce R
-3-15
(5 marks)
(b)
N
Given that Z= 2-71 Express in the standard form a +bi
(5 marks)
(c)
l'a and B are the roots of the equation x² 3x T=0, form new
quadratic equation with 0°8 and aB² as its roots
(6 marks)
(d)
Solve the following inequalities
i. x²<3x+10
(4 marks).
ii. 12-3/25
(5 marks)
4.
(a)
Arithmetic sequence is given by 10,xy,z,2,
find:
i.
values of and z.
(5 marks)
ii.
21t term of the sequence.
(2 marks)
iii.
sum of the first 13 terms of the sequence.
3 marks)
8
(b)
The second and fifth terms of a geometric sequence are 24 and
9
respectively. Calculate:
i.
common ratio.
(5 marks)
ii.
first term.
(2 marks)
iii.
sum to infinity.
(3 marks)
(c)
Sum of the first four terms of a geometric series with the common
ratio of .4 is 357. Find:
common ratio.
(3 marks)
II.
8th term.
(2 marks)

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