Diketahui f(×)=|10-2×| dan g(×)=|2×+6|. Tentukan nilai: a.f(-4)× g(-4)- (f(10))^2
Matematika
noviahidayati
Pertanyaan
Diketahui f(×)=|10-2×| dan g(×)=|2×+6|. Tentukan nilai: a.f(-4)× g(-4)- (f(10))^2
1 Jawaban
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1. Jawaban Anonyme
Bab Nilai Mutlak
Matematika SMA Kelas X
f(x) = |10 - 2x|
f(-4) = |10 - 2 . (-4)|
= |10 + 8|
= |18|
= 18
f(10) = |10 - 2 . 10|
= |10 - 20|
= |-10|
= 10
g(x) = |2x + 6|
= |2 (-4) + 6|
= |-8 + 6|
= |-2|
= 2
f(-4) x g(-4) - (f(10))² = 18 x 2 - 10²
= 36 - 100
= -64