tolong jawabannya yaaa........
Matematika
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Pertanyaan
tolong jawabannya yaaa........
1 Jawaban
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1. Jawaban bapakdr
1) invers f-¹(x)
y = (3x-1)/(5x+4)
y(5x+4) = 3x-1
5xy+4y = 3x-1
5xy-3x = -4y-1
x(5y-3) = -4y-1
x = (-4y - 1)/(5y - 3)
f-¹(x) = (-4x - 1)/(5x - 3)
2) 5x - 7 = y
5x = y + 7
x = (y + 7)/5
f-¹(x) = (x + 7)/5
3) fog(x) = (2x+1)² - 2
(2x+1)² - 2 = y
(2x+1)² = y + 2
2x + 1 = √(y + 2)
2x = -1 + √(y + 2)
x = {-1 + √(y + 2)} / 2 (fog)-¹(x) = {-1 + √(x + 2)} / 2