mrwashington87 mrwashington87
  • 15-03-2020
  • Mathematics
contestada

Is the function given below continuous at x = 9? Why or why not?
f(x) = 3x - 9

Respuesta :

gmany
gmany gmany
  • 15-03-2020

Answer:

YES

Step-by-step explanation:

Yes, because the limit on the left and the limit on the right is equal to the value at a given point.

[tex]\lim\limits_{x\to9^-}f(x)=\lim\limits_{x\to9^+}f(x)=f(9)[/tex]

[tex]f(x)=3x-9\\\\\lim\limit_{x\to9^-}(3x-9)=3(9)-9=27-9=18\\\\\lim\limit_{x\to9^+}(3x-9)=3(9)-9=27-9=18\\\\f(9)=3(9)-9=27-9=18[/tex]

Answer Link

Otras preguntas

how do you can you solve this problem 37 + y = 87; y =
What is 689 divided by 53
Can water and pebbles form a solution?
You work at a clothing store, and your boss wants you to find out which type of shirt had the highest percentage of sales. You found that 13 out of 20 tank tops
What is 689 divided by 53
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital c
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital c
Jamaal buys his clothes at Super Discounts. On Saturday, he bought shoes regularly priced at $40 for 25% off, and a jacket regularly priced at $100 for 30% off.
Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony
Can water and pebbles form a solution?