tentukan invers dari fungsi berikut. f(x)=2-x/2x+1

jawab

fungsi invers

f(x)  = (2 - x)/(2x + 1)
y = (2 - x)/(2x + 1)
y(2x + 1) = 2 - x
2xy + y = 2 - x
2xy + x = 2 - y
x(2y + 1) = 2 - y
x = (2 -y)/(2y +1)

f⁻¹(x) = (2 - x)/(2x +1)

- Invers Fungsi -

f(x) = (2-x) / (2x+1)
y = (2-x) / (2x+1)
y(2x+1) = (2-x)
2xy+y= 2-x
2xy+x = 2-y
x(2y+1) = 2-y
x = (2-y) /(2y+1)
f-¹(x) = (2-x) / (2x+1)

semoga membantu
-vin