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The given function is not defined at a certain point. How should it be defined at that point to make it continuous at that point?

 

f(x) = (x ^ 2 + 2x - 80)/(x - 8)

 Feb 2, 2021
 #1
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(x^2  + 2x  - 80) =   (x -8)(x + 10)

 

So

 

(x - 8) ( x + 10) / (x  -8)   =     x  +  10      

 

So  the function  should  be  defined  as

 

             x +  10    if    x ≠  8

f(x) = 

               18        if  x   =   8

 

 

cool cool cool

 Feb 2, 2021

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