kalo ada yg tau tolong kasih tau yaa
Matematika
tantan123
Pertanyaan
kalo ada yg tau tolong kasih tau yaa
2 Jawaban
-
1. Jawaban dhikboss
(f o g)(x) = 4
(2x - 6)² - 4 = 4
4x² - 24x + 36 - 4 = 4
4x² - 24x + 28 = 0
x² - 6x + 7 = 0
x = (-b ± √(b²-4ac)) / 2(a)
x = (6 ± √(36-28)) / 2
x = (6 ± √8) / 2
x = (6 ± 2√2) / 2
x = 3 + √2 atau x = 3 - √2 -
2. Jawaban AlfandyGulo
Mapel : Matematika
Kelas : 10
Bab : Fungsi Komposisi
__________________
(f o g) (x) = f(2x - 6)
(f o g) (x) = 4
(2x - 6)² - 4 = 4
(2x - 6)² = 8
4x² - 24x + 36 = 8
4x² - 24x + 36 - 8 = 0
4x² - 24x + 28 = 0 ⇒ Sederhanakan dengan dibagi 4
x² - 6x + 7 = 0
Nilai a = 1
b = -6
c = 7
x = (-b ± √(b² - 4ac))/2a
x = (-(-6) ± √((-6)² - 4(1)(7)) / 2(1)
x = (6 ± √(36 - 28))/2
x = (6 ± √8)/2
x = (6 ± 2√2)/2
x = [tex] \frac{6+ 2 \sqrt{2} }{2} [/tex]
= 3 + √2
atau
x = [tex] \frac{6-2 \sqrt{2} }{2} [/tex]
= 3 - √2