Topic: Continuity

What value of k will make the following function continuous at x=9?

Here's the function: http://img.ctrlv.in/img/15/07/08/559c74a5db65d.png

Can someone guide me on how to do it?

Question

Topic: Continuity

What value of k will make the following function continuous at x=9? 

Here's the function: http://img.ctrlv.in/img/15/07/08/559c74a5db65d.png

Can someone guide me on how to do it?

zzr0ck3r · Answer

solve $k(9)-4=6(9)+k$, then you are forcing the two equations to equal each other when $x=9$. Since the two functions are each continuous, you will be done.

owlet · Answer

That's what I did, but the correct answer is 29/4
Here is my solution.
9k-4 = 54 + k
9k-k=54-4
8k=50
k=6.25

zzr0ck3r · Answer

add 4 to both sides not subtract

zzr0ck3r · Answer

:)

owlet · Answer

ahh okay! thanks!

zzr0ck3r · Answer

do one step at a time on test :) I still do...

owlet · Answer

So I just have to set an equality for the function and solve for the value of unknown variable using the given x-value. Got it :) Thanks!

zzr0ck3r · Answer

yes, you are forcing the two equations to be the same at that point so its like you turn

|dw:1436317386267:dw|

zzr0ck3r · Answer

into this

|dw:1436317420456:dw|