Matematika tolong bantuin ya nanti malam di kumpulin soalnyaDiketahui fungsi f ( x ) = 4x g ( x) = 3x + 2 h ( x) = x 2 – 1 Tentukan : 1. f– 1 (x)2. g – 1 (x)3. h– 1 (x)4. ( f o g)– 1 (x)5. ( g o h) – 1 (x)6. ( f – 1 o g) (x)7. ( g o h – 1) (x)8. ( f o g o h) – 1(x)​

wilsonebertulv – June 04, 2023

tolong bantuin ya nanti malam di kumpulin soalnya
Diketahui fungsi f ( x ) = 4x

g ( x) = 3x + 2

h ( x) = x 2 – 1

Tentukan :

1. f

– 1 (x)

2. g – 1 (x)

3. h

– 1 (x)

4. ( f o g)

– 1 (x)

5. ( g o h) – 1 (x)

6. ( f – 1 o g) (x)

7. ( g o h – 1

) (x)

8. ( f o g o h) – 1

(x)​

Jawab:

Penjelasan dengan langkah-langkah:

f-1(x) = 1/4 x

g-1(x) = (x - 2)/3

h-1(x) = (x + 2)/2

(fog)-1(x) = (g-1 o f-1)(x)

               = ((1/4)x -2)/3)

(goh)-1 (x)= (h-1 o g-1)(x)

                = ((((x-2)/3)) + 2)/3)

f-1 o g (x) = 1/4 g (x)

                = 1/4 (3x +2)

                = (3x +2)/4

goh-1(x)  = 3((x+2)/2) + 2

(fogoh)-1(x) = goh-1(x) o f-1(x)

                    = 3((1/4x+2)/2) + 2

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