What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24?
2 answers:
Answer with Step-by-step explanation:
we are given a function:
We have to find the point of discontinuity of the function.
As we can clearly see that the function is not well defined if the denominator is zero.
So, the point of discontinuity is that value of x where denominator is zero
i.e. x such that 4x+24=0
4x= -24
x= -6
Hence, function is discontinuous at x= -6
and is continuous at all x ≠ -6
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Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
Answer:
8
Step-by-step explanation:
Let's set this up to see if we can simplify it a bit:
Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:
10 divided by 5 is 2, and 2 cubed is 8