Question

Diketahui f(x) = 2/(3x+2)
tentukan fungsi inversnya

Answer 1

F(x)= 2/(3x+2)
y = 2/(3x+2)
y(3x+2  = 2
3 xy + 2y = 2
3 xy = 2 - 2y
x(3y) = 2 - 2y
x = (2 - 2y)/(3y)

f⁻¹(x)= (2 - 2x)/(3x)
atau
f⁻¹(x) = (2x-2)/(-3x)

Answer 2

F(x) = y
F(x) = 2/(3x+2)
y = 2/(3x+2)
y(3x+2) = 2
3xy + 2y = 2
3xy = 2 - 2y
x = (2 - 2y) / 3y

Jadi f(x) invers = (2 - 2x)/3x