ページ1:

M
T
W
T
DATE
*** Fungsi
A. Aljabar fungsi
1) (f+g) (x)
2) (F-g) (x)
=
=
F(x) + g(x) 7-1
f(x) - g(x)
3) (F·g) (x) = f(x) - g(x)
F(x)
4)
g
.
=
f(x)
1
g(x) ₤ 07-1
g(x)
B. Fungsi komposisi
1) (fog) (x) = f (g(x))
=
outed a
2) (Fogoh) Exd = f (gch (x))) + D
Sifat Sifat £
= 5V
1. Tidak komutatif fog 7 g of
2. Assosiatif (ft of g) oh o(gob)
3. Terdapat unsur identitas
C. Invers Fungsi
y = f(x) -> x = f(y)
Sifat sifat
1. ( 505-1) (x)
=
(f" of) (x) = 1 (x) = x
of)(x)
2. (goF)" (x)
=
(f" og "') (x)
3. (fog) (x) = h(x) -> f(x) = h (g-(x))
-
4. (fog) (x) = h(x) − g(x) = 8-1 (h (x))

ページ2:

T
0:
T
F
OT
10
Rumus cepat
1) f(x) = ax + b → Ft (x)
F(x)
=
x-b
a
2) f (x) = ax+b
Cxtd
= ax+b → F(x) = - d x + b
n
:
CX
-
-a
n
3) F(x) = "√ ax + b =>Ƒ" (x) = x^-b
4) F(x)
bx
= a
→ F" (x) = a log x
b
a
5) F(x) = ax² + bx + c - 5+ (x) = - b + √4ax+1
2a