jika f(x)=x dan g(x)= 3x-4 maka (nilai g invers bundaran f invers) (8) adalah
Matematika
AuliaBJ01
Pertanyaan
jika f(x)=x dan g(x)= 3x-4 maka (nilai g invers bundaran f invers) (8) adalah
2 Jawaban
-
1. Jawaban Jawer17
f(x) = x ─> f^-1(x) = x
g(x) = 3x - 4 ─> g^-1(x) = (x + 4)/3
(g^-1 o f^-1)(8) = g^-1(x) * f^-1(x)
= x * (x + 4)/3
= 8 * (8 + 4)/3
= 32 -
2. Jawaban arsetpopeye
(f o g)(x) = f(g(x)) = f(3x - 4) = 3x - 4
3x - 4 = y
3x = y + 4
x = (y + 4)/3
(f o g)^-1(x) = (x + 4)/3
(g^-1 o f^-1)(x) = (x + 4)/3
(g^-1 o f^-1)(8) = (8 + 4)/3 = (12)/3 = 4