owlet
  • owlet
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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zzr0ck3r
  • zzr0ck3r
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
  • owlet
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
  • zzr0ck3r
add 4 to both sides not subtract

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zzr0ck3r
  • zzr0ck3r
:)
owlet
  • owlet
ahh okay! thanks!
zzr0ck3r
  • zzr0ck3r
do one step at a time on test :) I still do...
owlet
  • owlet
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
  • zzr0ck3r
yes, you are forcing the two equations to be the same at that point so its like you turn |dw:1436317386267:dw|
zzr0ck3r
  • zzr0ck3r
into this |dw:1436317420456:dw|
zzr0ck3r
  • zzr0ck3r
very crudely speaking...
owlet
  • owlet
I see... I'll try to do some more. If I got stuck can I ask you again?
zzr0ck3r
  • zzr0ck3r
sure
owlet
  • owlet
For this one, it doesn't give any values for x... so how to solve for k? http://img.ctrlv.in/img/15/07/08/559c77ce4bfca.png
owlet
  • owlet
the question says "What value of k makes the following function continuous?"

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