Question

write the domain of the function : f(x)=1/√(x-1)(2x-5)

Answer 1

function is f(x) = 1/√{(x - 1)(2x - 5)}

function is defined when,
(x - 1)(2x - 5) ≥ 0
and (x - 1)(2x - 5) ≠ 0

so, (x - 1)(2x - 5) > 0
solve this inequality , we get,
x > 5/2 and x < 1

hence, $x\in(5/2,\infty)U(-\infty,1)$

hence, domain belongs to (5/2, ∞) U (-∞ , 1)

Answer 2

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