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Moderate

Find Critical Points of a Rational Function

SVCALC-1MHEQN

Find the critical points of:

$$f(x)=\frac{x+1}{x^2+x-1}$$

A

$\{-1\}$

B

$\{\cfrac{-1+\sqrt{5}}{2},\cfrac{-1-\sqrt{5}}{2}\}$

C

$\{-1,\cfrac{-1+\sqrt{5}}{2},\cfrac{-1-\sqrt{5}}{2}\}$

D

$\{-\cfrac{1}{2},\cfrac{-1+\sqrt{5}}{2},\cfrac{-1-\sqrt{5}}{2}\}$

E

no critical points