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

What is the difference between point of view and choice of person?
Slope of 5/2 and with y-intercept of -2
What lipid that has been identified as a health hazard is not present in margarine but is present in butter?
How might an environment be affected if humans introduce a new type of plant to the environment?
new jersey was originally part of what colony
Which of the following best exemplifies a strong claim?
HELP PLZ Which relationship is always correct for the angles p, q, and r of triangle ABC? A triangle ABC has angle ABC labeled as q, angle BCA labeled as r, and
I need a hook for my informative body paragraph about Brazilian Geography
Classify each number as rational or irrational 1. 11/3 2. √48 3. 6.25 4. 0.01045 5. √16/81 6. √3/16 7. 0.42 8. 16π
Perform the indicated operation (x^2-2x+4)(3-x)^2