tolong dijawab penting pekerjaan seko ah

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Pembahasan :
Gof(x) = g(f(x))
Gof(x) = 3(x² - 4x + 2) - 7
Gof(x) = 3x² - 12x - 1
Gof(5) = 3(5)² - 12(5) - 1
Gof(5) = 3(25) - 61
Gof(5) = 14

Fog(x) = f(g(x))
Fog(x) = (3x - 7)² - 4(3x - 7) + 2
Fog(x) = 9x² - 42x + 49 - 12x + 30
Fog(x) = 9x² - 54x + 79
Fog(10) = 9(10)² - 54(10) + 79
Fog(10) = 9(100) - 461
Fog(10) = 439

[tex]f(x) = x^{2} - 4x + 2 \\ g(x) = 3x - 7[/tex]

maka,
a)
gof(x)
= g(f(x))
= 3(x² - 4x + 2) - 7
= 3x² - 12x - 1

b)
fog(x)
= f(g(x))
= (3x - 7)² - 4(3x - 7) + 2
= 9x² - 42x + 49 - 12x + 28 + 2
= 9x² - 54x + 79

c)
gof(5)
= 3x² - 12x -1
= 3(5)² - 12(5) - 1
= 75 - 60 - 1
= 14

d)
fog(10)
= 9x² - 54x + 79
= 9(10)² - 54(10) + 79
= 900 - 540 + 79
= 439