The function y=`(ax+b)/(x-1)(x-4)` has turning point at P(2,-1) Then find the values of a and b.

Explanation

To solve for the values of \( a \) and \( b \) in the function \( y = \frac{ax + b}{(x - 1)(x - 4)} \) given that it has a turning point at \( P(2, -1) \), we will follow these steps:

### Step 1: Substitute the turning point into the function

Since the point \( P(2, -1) \) lies on the curve, we can substitute \( x = 2 \) and \( y = -1 \) into the function:

\[
-1 = \frac{a(2) + b}{(2 - 1)(2 - 4)}
...