81.3k views
0 votes
(c) Does f (x) have any holes? If so, where are they? (just the x-coordinate is suffi- cient)(d) Does f (x) have any x-intercepts? If so, what are they?

(c) Does f (x) have any holes? If so, where are they? (just the x-coordinate is suffi-example-1

1 Answer

6 votes

f(x)=(2(x+7)(x-3)^2(x+1))/(3(x-4)^3(x+5)(x+1))

f(x) is not defined where the term of the denominator is zero.

This happens when x = 4, x = -5 or x = -1

The x-intercepts is the points where f(x) = 0

this happens when x = -7 and x = 3

Notice that x = -1 can't be a x-intercept because the function is not defined at this point.

User Veridian Dynamics
by
8.3k points
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