Solve this: f x = x - 1 x - 2 in x - 1 x - 2 - x + 3 x - 4 where [ . ] denotes the greatest integer function , then domain of the function is . A - 2 , 3 - 5 2 ∪ 3 + 5 2 , 4 B - 3 , 3 - 5 2 ∪ 3 + 5 2 , 3 C - 3 , 3 - 5 2 ∪ 3 + 5 2 , 4 D - 3 , 3 + 5 2 ∪ 3 + 5 2 , 4 Share with your friends Share 0 Aarushi Mishra answered this fx=x-1x-2ln x-1x-2-x+3x-4Qunatity inside square root should be non-negative but since it is denominator so it cannot be zero-x+3x-4>0x+3x-4<0x--3x-4<0Using solution of x-ax-b<0, where a<b, is given by x∈a,bx∈-3,4 ____________1Quantity inside log should be greater than zerox-1x-2>0x-1x-2≥1x2-3x+2≥1x2-3x+1≥0Note: Roots of x2-3x+1=0 are x=3±9-42=3±52Hence x=3+52 or x=3-52So x-3+52 or x-3-52 are factors of x2-3x+1x-3-52x-3+52≥0Using solution of x-ax-b≥0, where a<b, is given by x∈(-∞,a]∪[b,∞)x∈(-∞,3-52]∪[3+52,∞) ______________2From 1 and 2x∈(-3,3-52]∪[3+52,4) 0 View Full Answer Mariya answered this C IS CORRECT ANSWER AS THE [*] PART SHOULD NOT BE BETWEEN 0 AND 1 MOREOVER THE DENOMINATOR SHOULD NOT BE ZERO 0
