ページ1:

NO.
DATE.
fungsi komposisi & fungsi Invers^^
fungsi aljabar fungsi komposisi
(Suku sejenis)
ex:
f(x) = 2x+3
g(x) = x + 2
tentukan :
a) (f+9)(x) = (2x+3)+(x+2)
(A)=3x+5
b) (f-9)(x) = (2x+3)-(x+2)
ex :
f(x)
= 2x+3
g(x) = x+z
tentukan :
a) (fog) (x) / f (g(x))
masukkan 'g' Ke'f'
2x + 3
7
2 (x+2)+3
2x + 3-x-2
= x+1
c) (fxg) (x) = (2x+3)(x+2)
Atau
= 2x+4 + 3 = 2x+7
b) (90f) (x) 19 (f(x))
x + 2
=
(2x+3)+2
= 2x+3+2 = 2x+5
(f.9)(x) =
2x²+4x+3x+6
= 2x2+7x+6
PLSV, Jika diketahui komposisinya
d) (√) x)
=
2x + 3
X7-2
(fog)(x) =2x+4
x+2
contoh lain kalau ada persamaan kvadrat.
f(x) = x-2
g(x) = ...?
f(x)
= x²+2x+1
g(x) = x +1
(fog) (x)
=
f(g(x))
-())
x²+2x+1
=
ubah dulu jadi
x+1
= X +1
(X1)
x. 2 x2
kalau ada
yang sama
di coret.
2x +4 =
2x+4+2 9 (*)
9x)-2
2x+6 = 9(x)

ページ2:

NO.
DATE.
Pemisalan :)
x+2
9 (%) - **11
ex: 9 ( ) =
x+1
f(x+2)=3x-1
tentukan (fog) (x)
misal:
g(a) =
= a
+2
+1
2.a
=
+
a
(fog) (x) f (947)
=
= 3
7
1+x
= X
= 3+6x
7.(1+x)
1+x
1. (1+x)
= 3+6x - (7+7x)
1+x
3+6x-7-7x
29
=
+
a
a
+
=
1429
1+Q
gca)
= Itza
i+a
1+x
=-x-4
1+x
fungsi invers
Invers Fungsi Linier
g(x) = 1+2x
1+ X
ex:
f(x)=4x-2
y=4x-2
misal x + 2 = a
a-2 = x
4+2 = 4x
fla) 3 (a-2)-1
= 39-6-1
=39-7
f(x) = 3x-7
4+2
. X
4
f(x) = x+2
4
Df
: R
Kf
:
R
Rf
: R

ページ3:

Invers Fungsi Rasional
ex:
flx) = x+1
x+2
y = x+1
Rx+2
4(x+2)=x+
xy+2y = x+1
xy x 2y+1
x (y-1)=-24+1
DF = 2
{x 1x 7-2,XER}
KF = R
x = -2y+1
y-1
R+ = 2
Lyly, YERY
NO.
DATE.