Question

For real x, then integer which does not lie in the range of , Fx where FX = x2-3x+2/2x-2...

Answer 1

Given : F(x)  =  (x²  - 3x  + 2)/(2x  - 2)  x ∈ R

To find :  integer which does not lie in the range of , Fx

Solution:

F(x)  =  (x²  - 3x  + 2)/(2x  - 2)

= (x - 2)(x - 1)/2(x - 1)

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

= x/2  -  1

Hence all integer will be in the  range of F(x)

F(x)  =  (x²  - 3x  + 2)/(2x  - 2)  range will have all integers

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