Answer:

Step-by-step explanation:
We can rewrite the equation as

Notice that we have
in both the numerator and the denominator, so it looks like we can divide it out. However, what if
is
? Then we would have
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at
. In the simplified version of the function, if we plug in
, we get

So the point
is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at
(since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of 
Answer:
x: 23
y: -46
Step-by-step explanation:
so sorry if this is wrong, but i think thats it
Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
Umm, I need the numbers that are given but I can give you examples. It can be 5 1/6 or like 5 4/9
The whole number needs to be bigger
Answer:
y = 5x + 3
x = 5y + 3
5y + 3 = x
5y = x - 3
y = x/5 - 3/5
f^-1(x) = x/5 - 3/5
Step-by-step explanation: