Page 37 - E-MODUL FUNGSI KOMPOSISI DAN FUNGSI INVERS

Misalkan (g o h) (x) = y maka,

y = 2x −13
4x – 14
y ( 4x – 14) = 2x – 13
4xy – 14y = 2x – 13

4xy – 2x = 14y – 13
x (4y – 2) = 14y – 13

x = 14y – 13
4y – 2
-1
(g o h) (x) = 14x – 13
4x – 2
(h o g) (x) = h (g(x))

= h ( −6 )
2

= 2 ( −6 ) – 7
2
= 2 −12 – 7
2
= 2 −12−14
2
= −12 −12
2
= −12 ( +1)
2
= −6 ( +1)

Misalkan (h o g) (x) = y maka,

y = −6 ( +1)

xy = −6 ( + 1)

xy = −6 − 6
xy + 6x = −6

x (y + 6) = −6

x = −6
+6
-1
(h o g) (x) = −6
+6

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