Tentukan Invers Dari : f (x) = 2/3 x + 1 f (x) = 1/4 (2x+1) f (x) = 10/(4x-3)
Matematika
nadiakusuma11
Pertanyaan
Tentukan Invers Dari :
f (x) = 2/3 x + 1
f (x) = 1/4 (2x+1)
f (x) = 10/(4x-3)
f (x) = 2/3 x + 1
f (x) = 1/4 (2x+1)
f (x) = 10/(4x-3)
1 Jawaban
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1. Jawaban SyarifullahMP
f(x) = 2/3x + 1
y = 2/3x + 1
2/3x = y - 1
x = 3/2(y - 1)
f⁻¹(x) = 3/2(x - 1)
f(x) = 1/4(2x + 1)
y = 1/4(2x + 1)
4y = 2x + 1
2x = 4y - 1
x = 1/2(4y - 1)
f⁻¹(x) = 1/2(4x - 1)
f(x) = 10/(4x - 3)
y = 10/(4x - 3)
y(4x - 3) = 10
4xy - y = 10
4xy = y + 10
x = (y + 10)/4y
f⁻¹(x) = (y + 10)/4y