Diketahui f(x)=2x-3 g(x)=x²-1 Carilah nilai dari: A.(FoG)(m)=8 B.(GoF)(m)=0
Matematika
fransta77
Pertanyaan
Diketahui f(x)=2x-3 g(x)=x²-1
Carilah nilai dari:
A.(FoG)(m)=8
B.(GoF)(m)=0
Carilah nilai dari:
A.(FoG)(m)=8
B.(GoF)(m)=0
1 Jawaban
-
1. Jawaban ahbabcsckert
f(x) = 2x - 3
g(x) = x² - 1
cari nilai dari m?
A). (fog) (m) = 8
f(g(m)) = 8
2(g(m)) - 3 = 8
2(m² - 1) - 3 = 8
2m² - 2 - 3 = 8
2m² - 5 = 8
2m² = 13
m² = 13/2
m = √(13/2)
m = √26 / 2
B). (gof) (m) = 0
g(f(m)) = 0
(f(m))² - 1 = 0
(2m - 3)² - 1 = 0
4m² - 12m + 9 - 1 = 0
4m² - 12m + 8 = 0
m² - 3m + 2 = 0
(m - 2)(m - 1) = 0
m = 2 atau m = 1
GoodLuck:D