71.7k views
2 votes
What are the coordinates of the hole in the rational function? f(x)=x2+8x−9x2−1

( -1, 8 )


( -1, 4)


( 1, 5 )


( 1, 4 )

User Kiiwii
by
8.0k points

1 Answer

4 votes
The numerator factored is
(x+9)(x-1)
The denominator factored is
(x+1)(x-1)
The x coordinate for the hole comes from the like factor (x - 1).
Set it equal to zero. x - 1 = 0 so x = 1
Plug the x value into the remaining fraction
(x+9)/(x+1)

(1+9)/(1+1) = (10)/(2) =5
The answer is (1,5)
User Tejas Manohar
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories