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sqrt(2{x}^2-3{x}+1),where{.}is fractional function of x,find domain

sqrt(2{x}^2-3{x}+1),where{.}is fractional function of x,find domain

Grade:12

1 Answers

Sanjeev Malik IIT BHU
101 Points
10 years ago

expression under root should be positive

2x2-3x+1 >=0

(2x-1)(x-1)>=0

x belongs to (-infinity,1/2] U [1, +infinity)

as x lies b/w 0 to 1

so,

domain =  [0,1/2] U {1}

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