Six times the square of a number x plus 11 times the number equals 2. What are possible values of x?

-2, 1/6

Step-by-step explanation:

6x²+11x=2

6x²+11x-2=0

Delta=11²-4×6×(-2)=121+48=169

x1,2=(-11 +- sqrt(169))/(2×6)=

(-11 +- 13)/12

x1=(-11+13)/12=2/12=1/6

x2=(-11-13)/12=-24/12=-2

1. the parent function is defined for all and takes values (see red line in the attached diagram).

2. when reflecting over the y-axis, the domain of the function becomes and the range of the function is the same as the range of the parent function (blue line in the attached diagram).

this means that the function is the reflection of the function over the y-axis.