Question

X+3/ x2-9x+20
A.4
B-3
C-4
D 5
E.3
F -5
apex

Answer 1

• local minimum at x = -3-2√14
• local maximum at x = -3+2√14

Explanation:

The first derivative simplifies to ...

d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2

This has zeros that can be found by the usual methods of solving quadratics:

x = -3 ±2√14

The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)