What are the removable discontinuities of the following function? f (x) = StartFraction x squared minus 36 Over x cubed minus 36
2 answers:
Answer:
the removable discontinuities are at x = 6 and at x = -6
Step-by-step explanation:
Notice that the function has common binomial factor in numerator and denominator:
therefore, the removable discontinuities are those at x= 6 and x = -6 that correspond to zeros common in numerator and denominator, and therefore those associated with the (x + 6) factor, with the (x - 6) factor.
There is a non-removable discontinuity at x = 0.
The discontinuities can be removed by re-assigning the value of f(x) at x=6 (as 1/6), and at x = -6 (as -1/6)
You might be interested in
Answer: 3 2/3 Yards
Step-by-step Solution:
In order to solve this problem, you'll want to set up a conversion equation.
** 1 Yard = 3 Feet **
To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.
You can then solve by using simple division. I will attach a photo of the steps I did by hand.
** Canceling the units will help avoid confusion **
After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.
3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.
I hope this helps! c:
