The domain of the function `f(x)=sqrt(log(1/(|sinx|)))` (a)`R-{-pi,pi}` (b) `R-{npi|npiZ}` (c)`R-{2npi|n in z}` (d) `(-oo,oo)`

The domain of definition of the function f(x)="log"|x| is a. R b. (-oo,0) c. (0,oo) d. R-{0}

Let x in (0,pi/2)dot Then find the domain of the function f(x)=1/sqrt((-(log)_(sinx)tanx))

If q^2 - 4pr =0 , p gt 0 then the domain of the function f(x) = log(p x^3 +(p+q)x^2 +(q+r) x + r) is (a) R-{-q/2p} (b) R-[(-oo,-1]uu{-q/(2p)}] (c) R-[(-oo,-1)nn{-1/(2p)}] (d) R

The domain of the function f(x)=1/(sqrt(|x|-x)) is: (A) (-oo,oo) (B) (0,oo (C) (-oo,""0) (D) (-oo,oo)"-"{0}

The domain of definition of the function f(x)=sqrt(-cosx)+sqrt(sinx) is: [2npi,2npi+pi/2],n in I b. [2npi,(2n+1)pi],n in I c. [2n+1/2pi(2n+1)pi],n in I d. [(2n+1)pi,(2n+3/2)pi],n in I

The domain of definition of f(x)=((log)_2(x+3))/(x^2+3x+2) is R-{-1,-2} (b) (-2,oo) R-{-1,-2,-3} (d) (-3,oo)-{-1,-2}

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 range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

The function f(x)=tanx is discontinuous on the set {npi; n in Z} (b) {2npin in Z} {(2n+1)pi/2: n in Z} (d) {(npi)/2: n in Z}

The domain of the following function is f(x)=(log)_2(-(log)_(1/2)(1+1/((x^(1/4)))-1) (0,1) (b) (0,1) (1,oo) (d) (1,oo)