The function
... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)
is symmetrical about the line y=x, hence is its own inverse.
We can evaluate the desired derivative directly.
... f'(x) -3/(x-1)²
so f'(2) is
... f'(2) = -3/(2-1)²
15-(4x3) =3 , idk how to explain it but the answers 3 for sure
The discontinuity are the point wherein the function is not defined.
The zeros are the points wherein f(x)=0.
Computing the discontinuity points:
Set
then the discontinuity point is at
.
Comptine the zeroes:
Set
Compute the discriminant:
Then with quadratic formula we get the solutions:
The two zeros are
8÷3 is 2.666666667, 6 is greater than 5 so rounded to the nearest tenth it is 2.7
C is not continuous.
Continuous functions have connected graphs; this indicates that every possible value of x has a value of y associated with it. In this case, that says that every possible radius measurement has a number of tennis balls associated with it. The problem with this is that we cannot have a fractional part of a tennis ball, so it is not continuous.