dik: f(x)= X+3 g(x) 2x+1 tentukan nilai •fog(x) •fog-¹(x). •f-¹(-2) •f-¹(x)
Matematika
rrr50
Pertanyaan
dik: f(x)= X+3 g(x) 2x+1 tentukan nilai •fog(x) •fog-¹(x). •f-¹(-2) •f-¹(x)
1 Jawaban
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1. Jawaban BSunShine
Materi : Fungsi
f(x) = x + 3
g(x) = 2x + 1
∴ f o g(x) = (2x + 1) + 3
║ f o g(x) = 2x + 4 ║
∵f o g(x) = 2x + 4
∵y = 2x + 4
∵2x = y - 4
∵x = (y - 4) / 2
║f o g⁻¹ (x) = (x - 4) / 2║
· f(x) = x + 3
→ y = x + 3
→ x = y - 3
║ f⁻¹ (x) = x - 3 ║
f⁻¹ (x) = x - 3
f⁻¹ (-2) = -2 - 3
║f⁻¹ (-2) = -5║