Question

Find all holes of the following function. Write your answer as a coordinate point in

simplest form. If no hole exists, press the icon to indicate there is no solution.
ƒ(x) =x-1/x² - 4x +3
PLEZZZZZZ help

Answer 1

Explanation:

In order to find a hole, you have to factor the denominator to see if it matches an expression in the numerator and can therefore be crossed out.

The factored form of the denominator is shown below:

`f(x)=(x-1)/((x-3)(x-1))`

Because the term x-1 is in both the numerator and the denominator, it is a hole, or removeable discontinuity. To find the hole, we plug in a 1 to the fraction that remains after we cancel the hole:

`f(1)=(1)/(1-3)=-(1)/(2)`

The hole is found at (1, -1/2)