Question

Fungsi invers dari
f(x) = 2(x+1) - (4x-3)
dibagi
x+1
adalah ....

Answer 1

F(x) = [2(x+1) - (4x-3)]/(x+1)
f(x) = (2x+2-4x+3)/(x+1)
f(x) = (-2x+5)/(x+1)
y = (-2x+5)/(x+1)
y . (x+1) = -2x+5
xy+y = -2x+5
xy+2x = 5-y
x(y+2) = 5-y
x = (5-y)/(y+2)
f⁻¹(x) = (5-x)/(x+2)