`f(x)=sgn(cot^(- 1)x),g(x)=sgn(x^2-4x+5)`

Which of the following pair(s) of function have same graphs?(B) f(x)=sgn(x^(2)-4x+5),g(x)=sgn(cos^(2)x+sin^(2)(x+(pi)/(3))) where sgn denotes signum function

Write the equivalent definition and draw the graphs of the following functions. (a) f(x)=sgn(log_(e)|x|) (b) f(x)=sgn(x^(3)-x)

Which of the following pairs of function are identical? a. f(x)=e^(In sec^(-1)x) " and " g(x)=sec^(-1)x b. f(x)=tan(tan^(-1)x) " and " g(x)=cot(cot^(-1)x) c. f(x)=sgn(x) and g(x)=sgn(sgn(x)) d. f(x)=cot^(2)*cos^(2)x " and " g(x)=cot^(2)x-cos^(2)x

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

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

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

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

Discuss continuity of (i) f(x) = sgn(x^(3)-x) (ii) f(x) = sgn(2 cos x-1) (iii) f(x) = sgn(x^(2)-2x+3)

Find the range of the following (i) f(x)="sgn"(x^(2)) " (ii) "f(x)="sgn"(x^(2)-2x+3)

Find the range of the following (i) f(x)="sgn"(x^(2)) " (ii) "f(x)="sgn"(x^(2)-2x+3)