chrisjameskunkel
chrisjameskunkel chrisjameskunkel
  • 08-06-2017
  • Mathematics
contestada

How would you "remove the discontinuity" of f ? In other words, how would you define
f(4)
in order to make f continuous at 4?
f(x) =
x2 − x − 12
x − 4

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 08-06-2017
there is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get

f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)


one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4

or, to just do f(x)=x+3
Answer Link

Otras preguntas

are there any more incorrect words to find?​
Organisms can be in same phylum but be different _____________ if they are also in same genus.
Algebra 2 help !!!!!!
A _______ object is used for storing data.
What international event led to the Red Scare?
Could you help me with ideas to give something to my girl this February 14The most creative answer I will give him the brainliest answerThank you
If a plant can’t root or has a poor root system it cannot be reproduced True False
what are the features of an information literate person
Which number is NOT the scientific notation?. A: 0.95×10^8, B:1.1×10^5, C:7.00×10^8, D:9.9×10^-28
Why is Uncle Tom's Cabin considered to be a cause of the Civil War?​