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FUNGSI KOMPOSISI DAN INVERS Alexander Putra Bain XI.6

Total questions: 9

Worksheet time: 2hrs 15mins

Name
Class
Date
1.

Diketahui f(x) = 3x + 5 dan g(x) = 2x - 6, maka (f o g)(x) adalah?

a)

(f o g)(x) = 6x + 13

b)

(f o g)(x) = 13 - 6x

c)

(f o g)(x) = 6x - 13

d)

(f o g)(x) = 12x - 6

e)

(f o g)(x) = 13x - 6

2.

Diketahui f(x) = 4x + 2 dan g(x) = 3x, berapa nilai dari (f o g)(3)?

a)

(f o g)(3) = 38

b)

(f o g)(3) = -38

c)

(f o g)(3) = 39

d)

(f o g)(3) = -39

e)

(f o g)(3) = -40

3.

Jika f(x) = 3x − 5 dan g(x) = x² + 3x + 2 Maka nilai (f o g)(−2) adalah….

a)

(f o g)(−2) = 4

b)

(f o g)(−2) = 5

c)

(f o g)(−2) = −5

d)

(f o g)(−2) = 10

e)

(f o g)(−2) = -10

4.

Jika diberikan f(x) = x + 4 dan (f o g)(x) = x² − 3x + 8, maka g(x) = ….

a)

g(x) = x² − 4x + 3

b)

g(x) = x - 3x - 4

c)

g(x) = x² − 3x - 4

d)

g(x) = x² − 4x - 3

e)

g(x) = x² − 3x + 4

5.

Diketahui f(x) = 5 – x dan g(x) = 3x + b – 2. Jika (f o g)(x) = (g o f)(x), berapa nilai b?

a)

b = 0

b)

b = 6

c)

b = 3

d)

b = –3

e)

b = –6

6.

Diketahui f(x) = x + 5 dan g(x) = 2x − 4. Nilai (g o f)⁻¹(6) adalah....

a)

(g o f)⁻¹(6) = 0

b)

(g o f)⁻¹(6) = 1

c)

(g o f)⁻¹(6) = -0

d)

(g o f)⁻¹(6) = -1

e)

(g o f)⁻¹(6) = 6

7.

Jika f(x) = 3x − 7, maka f⁻¹(x) adalah?

a)

f⁻¹(x) = (x - 7) / 3

b)

f⁻¹(x) = (x + 7) / 7

c)

f⁻¹(x) = (x + 7) / 3

d)

f⁻¹(x) = (x + 3) / 7

e)

f⁻¹(x) = (x - 3) / 7

8.

Jika f(x) = ax − 8 dan f⁻¹(x) = (x + 8) / 6, maka berapakah nilai a?

a)

a = -6

b)

a = 6

c)

a = 8

d)

a = -8

e)

a = 3

9.

Jika f⁻¹(x) = (x − 3) / 4, maka f(x) adalah?

a)

f(x) = 4x - 3

b)

f(x) = 3x - 4

c)

f(x) = 4x + 4

d)

f(x) = 4x + 3

e)

f(x) = 3x + 4