mohon bantu dengan caranya
Matematika
BiMuNa
Pertanyaan
mohon bantu dengan caranya
2 Jawaban
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1. Jawaban whongaliem
[tex]f (x) = \frac{2x + 1}{x - 3} [/tex]
[tex] f^{- 1} (x) = \frac{ 3x + 1}{x - 2} [/tex]
[tex] f^{- 1} (x - 2) = \frac{3 (x - 2) + 1}{x - 2 - 2} [/tex]
[tex]= \frac{3x - 6 + 1}{x - 4} [/tex]
[tex]= \frac{3x - 5}{x - 4} ; x \neq 4 ..... jawaban : d[/tex]
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2. Jawaban arsetpopeye
f(x) = (2x + 1)/(x - 3)
(2x + 1)/(x - 3) = y
xy - 3y = 2x + 1
xy - 2x = 3y + 1
x(y - 2) = 3y + 1
x = (3y + 1)/(y - 2)
f^-1(x) = (3x + 1)/(x - 2)
f^-1(x - 2) = (3(x - 2) + 1)/((x - 2) - 2)
f^-1(x - 2) = (3x - 6 + 1)/(x - 4)
f^-1(x - 2) = (3x - 5)/(x - 4) ,,, x - 4 ≠ 0 => x ≠ 4