Question

How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)?

Answer 1

Looks like 2 to me. Can you prove it?

Answer 2

one

Answer 3

are you familiar with derivatives ?

Answer 4

well, find dy/dx and figure out the tangent at 1/2

Answer 5

(1,2) i mean

Answer 6

if so, take the der and use value of x =1 to find eqn of tangent line

Answer 7

the point (1, 2) isn't on the curve as its asymptotic at x = -1 and y = 1

Answer 8

so I'd say there is 2 tangents with side of te vertical asymptote x = -1

Answer 9

Defintely 2. Now find them!

Answer 10

i found two, just as @tkhunny is definitely sure.

Answer 11

how many tangents pass through (1,2) is equivalent to asking how many tangents can be drawn to the curve from (1,2)
If that helps your case?