Question

Tentukan invers dari fungsi A) f(x) = 3x-5/2-x B) f(x) = 3x/2x-1 C) f(x) = 2x+5/3x-3 Tolong Jawab ya

Answer 1

Verified answer

Kelas 10 Matematika
Bab Fungsi Komposisi

g(x) = (ax + b)/(cx + d)
g⁻¹ (x) = (-dx + b)/(cx - a)

A] f(x) = (3x - 5)/(-x + 2)
f⁻¹ (x) = (-2x - 5)/(-x - 3)
f⁻¹ (x) = (2x + 5)/(x + 3)

B] f(x) = 3x / (2x - 1)
f(x) = (3x + 0) / (2x - 1)
f⁻¹ (x) = (x + 0)/(2x - 3)
f⁻¹ (x) = x / (2x - 3)

C] f(x) = (2x + 5) / (3x - 3)
f⁻¹ (x) = (3x + 5) / (3x - 2)