To use the elimination method, you have to create variables that have the same coefficient, then you can eliminate them.
ANSWER
D.
EXPLANATION
The given function is
Comparing to the general form of a trigonometric sine function,
The amplitude is absolute value of A
The period is given by
is a shift to the right of 4 units.
and
is an upward shift of 9 units
Therefore the phase shift is (4,9).
The correct answer is D
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