Question

Jika f(x)= x²-4x-2 dan f(a)=3
a. Tentukan a
b. g(x)=10x-6 . tentukan (f o g)(p)

Answer 1

Verified answer

Jawab

f(x) = x² - 4x - 2
a) f(a)= 3
a² - 4a - 2 = 3
a²- 4a - 5=0
(a - 5)(a +1) - 0
a= 5  atau a = - 1

b. g(x) = 10x - 6
fog(p)=  f { g(p)} = f {10p - 6}
= (10p -6)² - 4(10p -6) - 2
= 100p² -120p + 36 - 40p + 24 - 2
= 100p² - 160p + 58