F(x) = 2x - 3/ x + 1 dititik yg berordinat 3 . Tentukan persamaan garis singgung pada kurva tsb!

y = (2x - 3)/(x + 1)
3 = (2x - 3)/(x + 1)
3x + 3 = 2x - 3
x = -6

u = 2x - 3 → u' = 2
v = x + 1 → v' = 1

F'(x) = (u'v - v'u)/v²
F'(x) = 5/(x² + 2x + 1)

m = F'(-6)
m = 5/(36 - 12 + 1)
m = 5/25 = 1/5

y - y1 = m(x - x1)
y - 3 = 1/5 (x + 6)
5y - 15 = x + 6
x - 5y + 21 = 0