Which of the following is an even function a) `f(x)=(a^x+a^(-x))/(a^x-a^(-x))` b) `f(x) =(a^x+1)/(a^x-1)` c)`f(x)=x (a^x-1)/(a^x+1)` (d) `f(x)=log_2(x+sqrt(x^2+1))`

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2(x(x-1)) (d) None of these

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

Which is not an even function? f(x)=sqrt(1+x+x^(2))+sqrt(1-x+x^(2))

Which of the following function from Z to itself are bijections? f(x)=x^(3)( b) f(x)=x+2f(x)=2x+1( d )f(x)=x^(2)+x

Which of the following functions is the inverse of itself? f(x)=(1-x)/(1+x) (b) f(x)=5^(log x)f(x)=2^(x(x-1))(d) None of these

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2