If `A=[[1,2],[2,1]]` and `f(x) =(1+x)(1-x),` then `f(A)` is

If f(x) = (x-1)/(x+1) , then f(2) is equal to

If f(x)=(x-1)/(x+1) then f(2x) is equal to

If f(x)=(x-1)/(x+1) then f(2x) is equal to

If 2f(x^2)+3f(1/x^2)=x^2-1 , then f(x^2) is

Let f : [-1, -1/2] rarr [-1, 1] is defined by f(x)=4x^(3)-3x , then f^(-1) (x) is

If the function f:[1,∞)→[1,∞) is defined by f(x)=2 ^(x(x-1)) then f^-1(x) is

If f(x) =(x-1)/(x+1),f^(2)(x)=f(f(x)),……..,……..f^(k+1)(x)=f(f^(k)(x)) ,k=1,2,3,……and g(x)=f^(1998)(x) then int_(1//e)^(1) g(x)dx is equal to

If two roots of the equation (p-1)(x^2 +x +1)^2 -(p+1)(x^4+x^2+1)=0 are real and distinct and f(x)=(1-x)/(1+x) then f(f(x))+f(f(1/x)) is equal to

If f:R-{-(1)/(2)}toR-{(1)/(2)} is defined by f(x)=(x-3)/(2x+1) , then f^(-1)(x) is

For x in RR - {0, 1}, let f_1(x) =1/x, f_2(x) = 1-x and f_3(x) = 1/(1-x) be three given functions. If a function, J(x) satisfies (f_2oJ_of_1)(x) = f_3(x) then J(x) is equal to :