Jika f(x-2) = 3-2x , gof (x+2) = 5-4x , g (-1).... ?
Matematika
Citra1120
Pertanyaan
Jika f(x-2) = 3-2x , gof (x+2) = 5-4x , g (-1).... ?
1 Jawaban
-
1. Jawaban 4LL
Langsung aja y
misal :
x-2 = a
x = a+2
f(a) = 3 - 2(a+2)
f(a) = 3 - 2a - 4
f(x) = -2x - 1
misal :
x+2 = a
x = a-2
(gof)(a) = 5 - 4(a-2)
(gof)(a) = 5 - 4a + 8
(gof)(x) = -4x + 13
(gof)(x) = g{f(x)}
-4x + 13 = g(-2x-1)
misal :
-2x - 1 = a
x = a+1 / -2
soal menjadi →
g(a) = -4(a+1 / -2) + 13
g(a) = 2(a+1) + 13
g(a) = 2a + 2 + 13
g(a) = 2a + 15
g(-1) = 2(-1) + 15
g(-1) = -2 + 15
g(-1) = 13
Semoga berguna +_+