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Verified answer
Mapel : MatematikaKelas : X SMA
Bab : Fungsi Komposisi
Pembahasan :
g°f (a) =19
g(f(a)) = 19
2(a² + 2a + 3) - 3 = 19
2(a² + 2a + 3) = 22
a² + 2a + 3 = 11
a² + 2a - 8 = 0
(a + 4)(a - 2) = 0
a = -4
a = 2
Maka nilai a adalah -4 atau 2
0= 2a² + 4a+6 - 3
0= 2a² + 4a + 3 - 19
0= 2a² + 4a - 16
0 = 2 ( a²+2a-8)
0 = 2. (a - 2)(a+4)
Jadi
a1 - 2= 0
a1 = 2
a2 + 4 = 0
a2=-4