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f(x)=root(2{x} 2 -3{x}+1) x belongs to [-1,1], where {...} denotes fractional part of x

f(x)=root(2{x}2-3{x}+1)


x belongs to [-1,1],  where {...} denotes fractional part of x

Grade:

1 Answers

Vanya Saxena
18 Points
12 years ago

root[2{x}2-3{x}+1]=f(x)

2{x}2-3{x}+1  ≥  0   =>[2{x}-1] [{x}-1] ≥0

we know that {x}≠1

=>[2{x}-1]≥0

1/2≤x<3/2

but x belongs to [-1,1]

 =>x € [1/2 , 1)

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