f(x) = 5x + 12
g(x) = 2x - 7
(fog) (-1) ?
(fog) (x)
f(g(x))
5(2x - 7) + 12
10x - 35 + 12
10x - 23
(fog)(-1) = 10x - 23
(fog) (-1) = 10(-1) - 23
(fog) (-1) = -10 - 23
(fog) (-1) = - ( 10 + 23 )
(fog) (-1) = -(33)
(fog) (-1) = -33
Penjelasan dengan langkah-langkah:
FUNGSI KOMPOSISI
g(x) = 2x – 7
(f o g)(x) = f(2x – 7)
(f o g)(x) = 5(2x – 7) + 12
(f o g)(x) = 10x – 35 + 12
(f o g)(x) = 10x – 23
(f o g)(–1) = 10(–1) – 23
(f o g)(–1) = –10 – 23
(f o g)(–1) = – (10 + 23)
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• Diketahui :
f(x) = 5x + 12
g(x) = 2x - 7
• Ditanya :
(fog) (-1) ?
• Jawab :
(fog) (x)
f(g(x))
5(2x - 7) + 12
10x - 35 + 12
10x - 23
(fog)(-1) = 10x - 23
(fog) (-1) = 10(-1) - 23
(fog) (-1) = -10 - 23
(fog) (-1) = - ( 10 + 23 )
(fog) (-1) = -(33)
(fog) (-1) = -33
Penjelasan dengan langkah-langkah:
FUNGSI KOMPOSISI
f(x) = 5x + 12
g(x) = 2x – 7
(f o g)(x) = f(2x – 7)
(f o g)(x) = 5(2x – 7) + 12
(f o g)(x) = 10x – 35 + 12
(f o g)(x) = 10x – 23
(f o g)(–1) = 10(–1) – 23
(f o g)(–1) = –10 – 23
(f o g)(–1) = – (10 + 23)
(f o g)(–1) = – 33 ✔