Which of the following functions are identical? `f(x)=1nx^2a n dg(x)=21nx` `f(x)=(log)_x ea n dg(x)=1/((log)_e x)` `f(x)="sin"(cos^(-1)x)a n dg(x)="cos"(sin^(-1)x)` `non eoft h e s e`

Find the value of x for which function are identical. f(x)=xa n dg(x)=1/(1//x)

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Which of the following pairs of functions is/are identical? (a) f(x)="tan"(tan^(-1)x)a n dg(x)="cot"(cot^(-1)x) (b) f(x)=sgn(x)a n dg(x)=sgn(sgn(x)) (c) f(x)=cot^2xdotcos^2xa n dg(x)=cot^2x-cos^2x (d) f(x)=e^(lnsec^(-1)x)a n dg(x)=sec^(-1)x

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

Find the value of x for which function are identical. f(x)=tan^(-1)x+tan^(-1)1/x a n dg(x)=sin^(-1)x+cos^(-1)x

Column I: Function, Column II: Value of x for which both the functions in any option of column I are identical f(x)=tan^(-1)((2x)/(1-x^2)),g(x)=2tan^(-1)x , p. x in {-1,1} f(x)=(log)_(x2)25a n dg(x)=(log)_x5 , q. x in (-1,1) f(x)=sec^(-1)x+cos e c^(-1)x ,g(x)=sin^(-1)x+cos^(-1)x , r. x in (0,1)

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

Which of the following functions has (have) y-symmetry or origin symmetry? (i) f(x) = x^(2) sin x" "(ii) f(x) = log ((1-x)/(1+x)) (iii) f(x) = x/(e^(x)-1)+x/2 + 1

Find the value of x for which function are identical. f(x)=(sqrt(9-x^2))/(sqrt(x-2))a n dg(x)=sqrt((9-x^2)/(x-2))