Answer:
There is a hole for the function at x = 3 and x = -0.5
Step-by-step 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 [tex]\frac{3x^{2}-7x-6 }{2x^{2}-5x-3}[/tex]
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.
[tex]2x^{2}-5x-3[/tex] = 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
