spballashh spballashh
  • 04-07-2021
  • Mathematics
contestada

At what x value does the function given below have a hole?

f(x)=x+3/x2−9

Respuesta :

freckledspots freckledspots
  • 04-07-2021

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

Answer Link

Otras preguntas

is 4 m greater or less than 400 dm
8. Which statement best describes the Richter scale? A. It's named after a scientist who studied tornadoes. B. It's a numerical rating system that measures
What is the first 7 square numbers?
Why can't our body resist radiation?
Which would a deist believe? A. It is through God that humans have natural rights to life and liberty. B. Surviving a disaster is a sign that God intervened. C.
Analyze the role of trans-Atlantic trade and Great Britain’s mercantilist policies in the economic development of the British North American colonies in the per
what is longitude? what is latitude?
What is the climate like in the Himalayas, India?
What differentiates baseline activities from health-enhancing activities?
Why is cactus hill really important?