mohon bantuannya memakai cara Diketahui f(x) = x²+8x+4 dan g(x)=5x-3, tentukan :
a. (fog)(x)
b. (gof)(x)
c. (fog)-¹(x)
d. (gof)-¹(x)
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a. (fog)(x)
b. (gof)(x)
c. (fog)-¹(x)
d. (gof)-¹(x)
Jawab:
a. (fog)(x) = f(g(x)) = f(5x-3) = (5x-3)²+8(5x-3)+4 = 25x²-30x+9+40x-24+4 = 25x²+10x + 9-20=25x²+10x - 11
b. (gof)(x) = g(f(x)) = g(x²+8x+4)=5(x²+8x+4)-3 = 5x²+40x+20-3 = 5x²+40x+17
Penjelasan dengan langkah-langkah:
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