Bantu Yaaa.. Carilah invers dari fungsi berikut : A. f(x) = (3x+2) / (2x+4), x≠-2 B. f(x) = 1 / ( x-5 )

jawab

a. f(x)  = (3x + 2)/(2x + 4)

y = (3x + 2)/(2x + 4)
3x + 2 = y(2x + 4)
3x + 2 = 2xy + 4y
3x - 2xy = 4y - 2
x(3 - 2y) = 4y - 2

x = (4y -2)/(3 -2y)
f⁻¹(x) = (4x - 2)/(3 - 2x)

b. f(x) = 1/( x- 5)
y = 1/(x -5)
x - 5 = 1/y
x = 1/y - 5
f⁻¹(x) = 1/ (x  - 5)