Jawaban Siap UNBK 2019 Ujian Nasional 2019 no 35

Jawaban Siap UNBK 2019 Ujian Nasional 2019
HOTS
(Higher Order Thinking Skills)
Program Studi Matematika IPA 2019
Persiapan Ujian Matematika IPA 2019
Jawaban Ujian Matematika IPA 2019

35. Diketahui f(x) = (-3x + 2) / (6x - 5) , x ≠ 5/6 . Invers dari fungsi f(x) adalah ...

A. f^-1(x) = (5x + 2) / (6x - 3), x ≠ 1/2
B. f^-1(x) = (5x - 2) / (6x + 3), x ≠ -1/2
C. f^-1(x) = (6x + 3) / (5x + 2), x ≠ -5/2
D. f^-1(x) = (5x + 2) / (6x + 3), x ≠ -1/2
E. f^-1(x) = (6x - 3) / (5x + 2), x ≠ -2/5

Jawaban : D
f(x) = (-3x + 2) / (6x - 5)
y = (-3x + 2) / (6x - 5)
y (6x - 5) = (-3x + 2)
6xy - 5y = -3x + 2
6xy + 3x = 5y + 2
x (6y + 3) = 5y + 2
x =  (5y + 2) / (6y + 3)

invers fungsi = f^-1(x) = (5x + 2) / (6x + 3), x ≠ -1/2

>> Soal 36