Domain of `log_([x+1]) (x-1)` is , (H represents greatest integer function)

Domain of log_([x+1])(x-1) is ([.] represents greatest integer function)

The domain of f(x)=log_(e)(4[x]-x) ; (where [1 denotes greatest integer function) is

Find the domain of continuity of f(x) = sin^(-1) x - [x] , [] represents greatest integer function .

Let f(x) = log_10 [|sin x|+ |cos x|] then subset of domain of function f may be ([.] represents greatest integer function)

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

The domain of the function sqrt(log_(1/3) log_4 ([x]^2 - 5 )) is (where [x] denotes greatest integer function)

Domain of f(x)=log(x^2+5x+6)/([x]-1) where [.] denotes greatest integer function:

Evaluate int_(1)^(a)x.a^(-[log_(a)x])dx,(agt1) .Here [.] represents the greatest integer function.