Tentukan invers dan fungsi berikut : a. f(x) = 3x - 5 b. g(x) = 2x + 5 / x - 3
Matematika
arrifarahmi
Pertanyaan
Tentukan invers dan fungsi berikut :
a. f(x) = 3x - 5
b. g(x) = 2x + 5 / x - 3
a. f(x) = 3x - 5
b. g(x) = 2x + 5 / x - 3
1 Jawaban
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1. Jawaban eripane05
Invers Fungsi
a.
f(x) = 3x - 5
y = 3x - 5
x = y + 5/ 3
f^-1 (x) = (x +5)/ 3
b.
y(x-3) = 2x +5
xy- 3y = 2x + 5
xy - 2x = 3y + 5
x(y-2) = 3y + 5
x = (3y+5)/ (y-2)
f^-1(x) = (3x+5)/(x-2)