Question

Find the equation of the tangent line to the graph of f(x)=x^2/(x-2) which passes through the point (2,-4)

Answer 1

I feel like this is impossible because the derivative is undefined at x=2 so there is no tangent line.

Answer 2

In addition f(2) is not -4. it's undefined.

Answer 3

@ganeshie8 @freckles

Answer 4

it never said the point (2, -4) is on f(x)

Answer 5

Okay fine. We can define a piecewise function.

Answer 6

We still can't find the derivative at x=2.

Answer 7

why do you want to find derivative at x=2 ?

Answer 8

But it says to find the equation of the tangent line at x=2. So I need the derivative at x=2.

Answer 9

Nope. it never said that

Answer 10

it said the tangent goes through the point (2, -4)

(2, -4) can be there anywhere outside the graph

Answer 11

Ohh. Well yeah, I guess.