We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
1400
3
avatar


Choose the value of k that makes the following function continuous at x=8

f(x)= {  x² - 11x + 24 / x - 8 then x < 8 

  also { -8x + k then x ≥ 8

 

I know the answer for this problem. I just need help in comprehending it. Can anyone give me a step by step walkthrough on this.

 Jan 30, 2015

Best Answer 

 #3
avatar+27908 
+10

What was the reasoning behind 69?  

 

82 - 11*8 + 24/8 - 8 = -29

 

-8*8 + 69 = 5

 

These aren't the same!

.

 Jan 30, 2015
 #1
avatar+27908 
+10

For the function to be continuous then both parts of it must have the same value at x = 8.

 

So you must have 82 - 11*8 + 24/8 -8 = -8*8 + k or -29 = -64 + k or k = 35

.

Notice the gap when k isn't 35:

continuous and discontinuous

.

 Jan 30, 2015
 #2
avatar
0

The answer I got for this problem was 69.

 Jan 30, 2015
 #3
avatar+27908 
+10
Best Answer

What was the reasoning behind 69?  

 

82 - 11*8 + 24/8 - 8 = -29

 

-8*8 + 69 = 5

 

These aren't the same!

.

Alan Jan 30, 2015

22 Online Users

avatar