Tentukan invers dari fungsi 1. g(x)= 1/2x-6 2. F(x)= 3x-2/2
Matematika
ajisadewo61
Pertanyaan
Tentukan invers dari fungsi
1. g(x)= 1/2x-6
2. F(x)= 3x-2/2
1. g(x)= 1/2x-6
2. F(x)= 3x-2/2
1 Jawaban
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1. Jawaban JasonJesen
1.
y = 1/2x - 6
y + 6 = 1/2x
2(y + 6) = x
2y + 12 = x
[tex] {g}^{ - 1} (x) = 2x + 12[/tex]
2.
y = (3x - 2)/2
2y = 3x - 2
1/3(2y + 2) = x
2/3y + 2/3 = x
[tex]{f}^{ - 1}(x) = \frac{2}{3} x + \frac{2}{3} [/tex]