Question

Tolong ya matematika kls 11


PAKAI CARA​

Answer 1

Nomor 10

f(x) = x - 1

(gof) (x) = g(f(x))

x² - 3x + 3 = g(x - 1)

(x - 1)² - (x - 1) + 1 = g(x - 1)

x² - x + 1 = g(x)

jawaban C

Nomor 11

f(x) = √(x + 7)

y = √(x + 7)

y² = x + 7

x = y² - 7

f`¹(x) = x² - 7

Jawaban E

Nomor 12

f(x) = 7x + 14

y = 7x + 14

7x = y - 14

x = (y - 14) / 7

x = (1/7)y - 2

f`¹(x) = (1/7)x - 2

Jawaban E

Mapel : Matematika

Bab : Fungsi Invers

Kode : 10.2.3

Answer 2

Jawab:

10.

f(x) = x - 1

(g o f)(x) = x² - 3x + 3

g(x - 1) = x² - 3x + 3

Misal f(x) = x - 1

f⁻¹(x) = x + 1

Misal x = x + 1

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

g(x) = x² + 2x + 1 - 3x - 3 + 3

g(x) = x² - x + 1

12.

13.

f(x) = 7x + 14

f⁻¹(x) = y

y =