The domain of the function f given by `f(x)=sqrt(log_(0.3)((e^x-1)/(e^x-tanx)))` contains (A) `(0,pi/4]` (B) `[pi/4,pi/2)` (C) `[-(3pi)/4,-pi/2)` (D) `(pi/2,(5pi)/4]`

The domain of the function f(x) = log_(3/2) log_(1/2)log_pi log_(pi/4) x is

The range of the function f(x) = cot^(-1)log_(0.5) (x^4 -2x^(2) +3) is a) (0,pi) b) (0,3pi//4) c) [3pi//4,pi) d) [pi//2, 3pi//4]

The domain of the function f(x)=log_((3)/(2))log_((1)/(2))log_(pi)log_((pi)/(4))x is

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)}} contains which of the following interval(s)? (a) (3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

Range of function f(x)=cot^(-1)(2x-x^2), is (a) [pi/4,(3pi)/2] (b) [0,pi/4] [0,pi/2] (d) [pi/4,pi]

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)