solve this with proper steps 9 If f(x) = log1/2x2-2x+2, then domain of f(x) is A) R - Maths - Relations and Functions

Question

solve this with proper steps
9 If f(x) = log 1 / 2 x 2 - 2 x + 2 , then domain of f(x) is
A )     R            
                 
        B )     R - 1 ,   2
                  C )
    R +              
                D )  
  R - ( 1 ,   2 )

Brijendra Pal · Accepted Answer

Hi, y = log12x2-2x+2now we know that fx is defined for fx≥0 so here log12x2-2x+2≥0 x2-2x+2≥120≥1x2-2x+1≥0x-12≥0 since LHS being square quantity is always greater than equal to zero so x ∈R

solve this with proper steps 9. If f(x) = log 1 / 2 x 2 - 2 x + 2 , then domain of f(x) is A ) R B ) R - 1 , 2 C ) R + D ) R - ( 1 , 2 )

solve this with proper steps
9. If f(x) = $\sqrt{\log_{1 / 2} (x^{2} - 2 x + 2)},$ then domain of f(x) is
$A) R B) R - (1, 2) C) R^{+} D) R - (1, 2)$