After factoring the fraction I to be left through $4x-3= -11$ as soon as $x=-2$. If i multiply $(x+2)(4x-3)$ and then plug $-2$ right into the resulting equation ns am left through $-24$. If I do $4(-2)-3=3(-2)+k$ i am left v $k=-5$ which is none of the answer choices.

You are watching: Find the value of k that makes the function continuous

The answer choices to this inquiry are

A. $k=20$

B. $k=0$

C. $k=2$

D. $k=4$

I am not sure where i go from below so any helpful tips on where I must start following would it is in appreciated.

calculus algebra-precalculus boundaries

re-publishing

point out

follow

edited Jun 5 "16 in ~ 21:14

will R

8,58844 gold badges1818 silver badges3535 bronze title

inquiry Jun 5 "16 at 20:57

user344249user344249

44233 yellow badges1313 silver badges3232 bronze title

$endgroup$

3

add a comment |

## 2 answers 2

energetic oldest Votes

2

$egingroup$

The right value is $k=-5$ as you have actually found.

Observing that, together $x eq-2$, friend have$$f(x)=frac4x^2+5x-6x+2=frac(4x-3)(x+2)x+2=4x-3$$ i beg your pardon is same to $-11$ together $x o -2$. At the same time putting $x=-2$ in $3x+k$ provides $-6+k$ climate you will require that$$-6+k=-11$$ that is $k=-5$.

re-superstructure

cite

monitor

edited Jun 5 "16 at 21:06

answered Jun 5 "16 in ~ 21:01

Olivier OloaOlivier Oloa

118k1818 yellow badges193193 silver- badges314314 bronze badges

$endgroup$

include a comment |

1

$egingroup$

Using the dominion of l"Hospital top top $lim_x o -2frac4x^2+5x-6x+2$ we acquire $lim_x o -28x+5=-11$. Because that none the the given alternatives it is feasible that $f$ is continuous since $-6+k eq -11$ because that $kin,2,4,20$.

re-superstructure

mention

follow

reply Jun 5 "16 in ~ 21:08

TeslaTesla

1,70388 silver- badges3232 bronze title

$endgroup$

2

include a comment |

## her Answer

Thanks because that contributing solution to tastecraftedmcd.comematics Stack Exchange!

Please be certain to*answer the question*. Provide details and share your research!

But *avoid* …

Use tastecraftedmcd.comJax to format equations. tastecraftedmcd.comJax reference.

To learn more, view our advice on writing great answers.

See more: Barnes And Noble Little Rock Ar Nes & Noble Booksellers, Barnes & Noble Booksellers

Draft saved

Draft discarded

### Sign up or log in

authorize up using Google

authorize up using Facebook

authorize up making use of Email and Password

submit

### Post as a guest

surname

email Required, however never shown

### Post as a guest

name

Required, yet never shown

post Your prize Discard

By clicking “Post your Answer”, girlfriend agree to our regards to service, privacy policy and also cookie policy

## Not the answer you're spring for? Browse other questions tagged calculus algebra-precalculus limits or asking your very own question.

The Overflow Blog

Featured top top Meta

associated

1

how to uncover the second derivative of $2x^3 + y^3 = 5$?

1

display a role is not consistent at a point

4

How can I plot this role that has a portion that has actually an absolute value in the denominator?

1

recognize the limit that involves Fourier coefficients,

0

Show function is continuous at origin

hot Network questions an ext hot concerns

inquiry feed

subscribe to RSS

question feed To subscribe to this RSS feed, copy and paste this URL right into your RSS reader.

tastecraftedmcd.comematics

firm

stack Exchange Network

site style / logo design © 2022 stack Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.12.22.41046

tastecraftedmcd.comematics stack Exchange works finest with JavaScript allowed

your privacy

By clicking “Accept all cookies”, you agree stack Exchange deserve to store cookies on your device and disclose information in accordance with our Cookie Policy.