Question

Coordinates of the hole of the function

Answer 1

There is a hole for the function at x = 3 and x = -0.5

Explanation:

We are given an expression and we have to find the coordinates of the point where there are holes in the function.

The given expression is
`(3x^(2)-7x-6 )/(2x^(2)-5x-3)`

The point where there are holes means that the fuction is not defined at that point. For the given function to not have a defined value , then the denominator should be zero.

`2x^(2)-5x-3` = 0

(x-3)(x+0.5) = 0

x = 3

or

x = -0.5

There is a hole for the function at x = 3 and x = -0.5