2cos^2 x + 3cosx + 1 = 0
solve on the interval {0,2pi}
a. x= pi/6 , x = 7pi/6
b. x= pi, x = 2pi/3, x = 4pi/3
c. x = 2pi, x = pi/3
d. x = 2pi, x = pi/4, x= 5pi/4

We will use the substitution:
u = cos x
2 u² + 3 u + 1 = 0
2 u² + u + 2 u + 1 = 0
u ( 2 u + 1 ) + ( 2 u + 1 ) = 0
( 2 u + 1 ) ( u + 1 ) = 0
2 u + 1 = 0,  u = - 1/2  or: u + 1 = 0, u = - 1
cos x = - 1/2,  x 1 = 2π/3,  x 2 = 4π/3
cos x = - 1 ,  x 3 = π 
B ) 

The correct answer would be the function g(x) increased at a faster rate

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