Latihan Soal;
Di Ketahui : f(x)=x²-4 dan g(x)=-4x+1
Di Tanya :
1.(f ° g)(x)
2.(g ° f)(x)
3.(f ° f)(x)
4.(g ° g)(x)
Tolong Di Bantu Kak
Note;
#Pake Cara oke
#Jangan Ngasal
1. ( f o g )(x) = f[ g(x) ]
= f( -4x + 1 )
= ( -4x + 1 )² - 4
= 16x² - 8x + 1 - 4
= 16x² - 8x - 3
2. ( g o f )(x) = g[ f(x) ]
= g( x² - 4 )
= -4( x² - 4 ) + 1
= -4x² + 16 + 1
= -4x² + 17
3. ( f o f )(x) = f[ f(x) ]
= f( x² - 4 )
= ( x² - 4 )² - 4
= x⁴ - 8x² + 16 - 4
= x⁴ - 8x² + 12
4. ( g o g )(x) = g[ g(x) ]
= g( -4x + 1 )
= -4( -4x + 1 ) + 1
= 16x - 4 + 1
= 16x - 3
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