bantu jawab cepat pliss
Penjelasan dengan langkah-langkah:
soal1:
f(x) = 4x-3
g(x) = x²+5
(gof)(x) = (4x-3)² +5
= 16x²-24x+9+5
= 16x²-24x+14
(fog)(x) = 4(x²+5) -3
= 4x²+17
soal2:
f(x) = 2x+3
g(x) = x²-5
(gof)(5) = g(f(5))
f(5) = 2(5)+3 = 13
g(f(5)) = 13² -5 = 169-5 = 164
(fog)(-3) = f(g(-3))
g(-3)= (-3)² -5 = 4
f(g(-3)) = 2(4) +3 = 11
soal3:
f(x) = 2x+1
g(x) = x² -3
(fog)(x) = 45
f(g(x)) = 2(x²-3) +1
45 = 2x²-5
2x² = 50
x² = 25
x = 5 atau x = -5
