If `F :[1,oo)vec[2,oo)` is given by `f(x)=x+1/x ,t h e nf^(-1)(x)` equals. `(x+sqrt(x^2-4))/2` (b) `x/(1+x^2)` (c) `(x-sqrt(x^2-4))/2` (d)`1+sqrt(x^2-4)`

If F :[1,oo)vec[2,oo) is given by f(x)=x+1/x ,t h e nf^(-1)(x) equals. (x+sqrt(x^2-4))/2 (b) x/(1+x^2) (c) (x-sqrt(x^2-4))/2 1+sqrt(x^2-4)

If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equals \ \ (a) (x+sqrt(x^2-4))/2 (b) x/(1+x^2) (c) (x-sqrt(x^2-4))/2 (d) 1+sqrt(x^2-4)

if f:[1,oo)->[2,oo) is given by f(x)=x+1/x then f^-1(x) equals to : a) (x+sqrt(x^2-4))/2 b) x/(1+x^2) c) (x-sqrt(x^2-4))/2 d) 1+sqrt(x^2-4)

If f: Rvec (-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) equals sqrt((|x|)/(1-|x|)) (b) -sgn(x)sqrt((|x|)/(1-|x|)) -sqrt(x/(1-x)) (d) none of these

If f: Rvec(-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) equals sqrt((|x|)/(1-|x|)) (b) -sgn(x)sqrt((|x|)/(1-|x|)) -sqrt(x/(1-x)) (d) none of these

If f(x) =(x-4)/(2sqrt(x)) , then f^(')(1) is equal to

If the function f:(1,oo) vec (1,oo) is defined by f(x)=2^(x(x-1)),t h e nf^(-1)(x) is (1/2)^(x(x-1)) (b) 1/2(1+sqrt(1+4(log)_2x)) 1/2(1-sqrt(1+(log)_2x) (d) not defined

If f :[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^-1(x)

If the function f:[1,oo)rarr[1,oo) is defined by f(x)=2^(x(x-1)),t h e nf^(-1)(x) is (1/2)^(x(x-1)) (b) 1/2(1+sqrt(1+4(log)_2x)) 1/2(1-sqrt(1+(log)_2x) (d) not defined

If x<0,t h e ntan^(-1)x is equal to -pi+cot^(-1)1/x (b) sin^(-1)x/(sqrt(1+x^2)) -cos^(-1)1/(sqrt(1+x^2)) (d) -cos e c^(-1)(sqrt(1+x^2))/x