Diketahui f(x)= 2x² – 5x dan g(x)= 4x – 3. maka tentukan (fog)(x)
Jawaban:
(fog)(x)=f(g(x))
=f(4x-3) –> f(x)=2x²-5x
=2(4x-3)²-5(4x-3)
=2(16x²-24x+9)-20x+15
=32x²-48+18-20x+15
=32x²-48x-20x+18+15
=32x²-68x+33
Diketahui f(x)= 2x² – 5x dan g(x)= 4x – 3. maka tentukan (fog)(x)
Jawaban:
(fog)(x)=f(g(x))
=f(4x-3) –> f(x)=2x²-5x
=2(4x-3)²-5(4x-3)
=2(16x²-24x+9)-20x+15
=32x²-48+18-20x+15
=32x²-48x-20x+18+15
=32x²-68x+33