livvywivvyp6xopi
livvywivvyp6xopi livvywivvyp6xopi
  • 13-04-2020
  • Mathematics
contestada

What are the removable discontinuities of the following function?
F(x)= x^2-36/ x^3-36x
A. x=-6, x= 0, and x = 6
B. x=-6 and x = 6
C. x = 0 and x = -6
D. x = 0 and x = 6

Respuesta :

21hnc01
21hnc01 21hnc01
  • 13-04-2020

Answer: B

Step-by-step explanation:

f(x)= x^2−36/x^3−36x or

f(x) = (x+6)(x−6)/ x(x^2−36) = (x+6)(x−6)/x(x+6) (x−6)

Discontinuities are  x=0, x=−6, x=6

f(x)= (x+6)(x−6)/x(x+6)(x−6)=1/x;x≠0

Answer Link

Otras preguntas

Can someone help me with this question. If you get it right you will get brainiest
What was the primary purpose of the Federal Reserve Act? to reduce tariffs to reduce the influence of trusts to reform the banking system
Brian invests £6500 into his bank account. He receives 4% per year compound interest. How many years will it take for Brian to have more than £10000?
What is the atmospheric pressure and temperature at sea level in a standard atmosphere?
witch of the following map elements is used to understand the symbols, colors. and shapes on the map
Which set of three angles could represent the interior angles of a triangle? * 19, 70, 91 47, 12, 31 50, 20, 20 25, 25, 100
Proyecto de vida-Jorge Duque Linares. Cuál fue el propósito del autor al escribir éste libro?
Human beings possess mirror systems that help us understand not just the actions and emotions of other, but their ___________ as well. a. physical status b. i
Find the quotient 5/4 ➗1 1/12
Why are saturated fats linked to cardiovascular diseases?