Tolong jawabkan yahh,,secepatnya…dengan cara yang benar,sertakan penjelasan nya
Maaf nomor 3 kurang paham jadi gabisa jawab 🙁
jadikan yang terbaik yaa
1. f(x) = 3x² + 4x + 1
g(x) = 6x
(a) fog(x) = f(g(x))
= 3(6x)² + 4(6x) + 1
= 108 x² + 24 x + 1
(b) gof(x) = g(f(x))
= 6(3x² + 4x + 1)
= 18x² + 24x + 6
2. f(x) = x² + 1
g(x) = 2x – 3
fog(x) = f(g(x))
= (2x-3)² + 1
= 4x² – 12x + 9 + 1
= 4x² – 12x + 10
3. f(x) = 2x – 3
g(x) = x² + 2x + 3
fog(a) = 33
fog(x) = f(g(x))
= 2(x² + 2x + 3) – 3
= 2x² + 4x + 6 – 3
= 2x² + 4x + 3
fog(a) = 33
33 = 2a² + 4a + 3
30 = 2a² + 4a
15 = a² + 2a
0 = a² + 2a – 15
0 = (a + 5) (a – 3)
a = -5 atau 3
5a = -25 atau 15
4. f(x) = 3x + 2
fog(x) = -3x + 8
fog(x) = f(g(x))
-3x + 8 = 3(g(x)) + 2
3(g(x)) = -3x + 8 – 2
= (-3x + 6) / 3
g(x) = -x + 2
5. g(x) = 2 – x
gof(x) = -3x
gof(x) = g(f(x))
-3x = 2 – f(x)
f(x) = 2 + 3x