Allright, I went to the lecture, read the section in my math book, and watched videos on youtube..., but still...how to arrive to the answer to this problem eludes me.
Find an equation of the tangent line to the curve at the given point.
y = (x-1)/(x-2), (3,2)
Equation that the book gives to solve this problem:
M = lim x -> a [f(x) - f(a)] / [x - a] where point (a, f(a))
f(x) = (x-1)/(x-2)
f(a) = 2
a = 3
M= [[(x-1)/(x-2)] - 2] / [x-3]
M= [(x-1)/(x-2) - (2x-4)/(x-2)] / (x-3)
M= [(-x+3)/(x-2)] / (x-3)
M= (-x+3) / [(x-2)(x-3)]
~This is as far as I get. I have no idea if I am correct so far. All I know is that I am not getting the answer that the book gives in the back~
Answer the book gives: y = -x+5