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by ( n)
-
5
fl-u) f(
+
= n .
2) :

f (n) f) u)
+
-
=
k /H + n2 -

42)

:
eg(1) :a s
O
aen
:
=

e
odd -
-
=
 f( -

u) = Sin ( -n) + Gs( u)

=
-
Sinn + Gr
Neither even Nor

odd
(NENO)
f-n) USEa) (a)
-

-
:
- -

: -
n Sin(n) + u3

: -

In sini - u3)

add
-
 f( -

u) = Smin) -
as( -n)

-sinn-us(u)
=

(Sun + coul NEXO

a
-
-
-

Hl-u) :

1an

~
flu) =

[usu I
En (I(1

fl-u) =
f()
·"·
f(-u) (In-pay
3
((a - 12]* +
(2n + 132] even
-
-
~
let n +
+ = t

22 : A 2
+
te

f(a) = 122

f(n) : 22-2
 -

P = I
2
~
2 T
-
T
-
a
= 2
4 4

LCm = 4
 ~

I ,
I
T
CM =
 X
# T
f( f(x))
+ = 4 +()7(2 f(z)) 4 f(5)
+ =

4) 4x47(8 16) + : 4x16

f(1
=
+

feel) = 64

f(5) = 16 Ang
 E as #flas) 2

f(aixa)
= 25X62

(f(s0)2 = 25 + 36

EXC
f (50) :

= 30 try
 f( p) 10 + 2
+ =

102
f(100 + 0) =
100 + f(0)
-
-

= 10 + 2

:
100
by
 2π
-
n = 3

1 +
4 + 9 +
-
n
?
by
-

ent
2 + 6x7 : (n)(n+1)(2n 1)
+

3) x4X7 = () (n 1) lent)
+
 Y)0
10% : 10-10
24
102)
=
1 + Y
(10
%:
by
-

x = Y u) O

Domain : 10-10h > o J : n us O

<10.

I
con Y < 24
O
y=
x( (
-
0
, 1) n -

y - If
n = 37
① gofen Fogas-Si
fogar Range of (tanl

g((mm)
f(ga) Sin (-0 0)
,
= ( -1 17
,

fem(bun)
f Ifann) (sin)
P2 2π gofen = fan
sin(tana) ~ fan 1-1 17 ,

p : T & tans ,
fen !
]