The x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12) , Option B is the correct answer.
What is x intercept of a function ?
The x intercept is the point at which the function intersects the x axis , the point at which y = 0
The given function is
g(x) = 2sin2x +1
g(x) = 0 , for x intercept
2sin2x +1 = 0
sin 2x = -1/2
Therefore in the interval ( 0 , 2π) , the x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12)
This can also be seen in the graph attached.
Option B is the correct answer.
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