Find the inverse of the following function `f: (-oo,1] rarr [1/2,oo)` , where `f(x) = 2^(x(x-2))`

Find the inverse of the following function: f(x) = (e^(x) -e^(-x))/(e^(x)+e^(-x))+2

Find the inverse of the function f: R rarr (-oo,1) given by f(x) = 1-2^(-x)

(b)Find the domain and range of the function f:x rarr 1/(x^2-1) ,where x in R .

Find the range of the function f(x)=(1+x^2)/(x^2)

Find the domain and range of the following functions: i) f(x)=1/(sqrt(x-5)) ii) f(x)=x/(1+x^2) .

Find the domain and the range of the functions f(x) = 1/(2x-1)

Find the domain of the function f(x) = sin^(-1)(log_(2)x)

Find the periods (if periodic) of the following functions: f(x)= tan""pi/2 [x] where [ ] represents the greatest integer function.

If the function f : [1, oo) rarr [1, oo) is defined by f(x) = 2^(x(x - 1)) , then f^(-1) (x) is a) ((1)/(2))^(x(x-1)) b) (1)/(2) (1 - sqrt(1 + 4 log_(2)x)) c) (1)/(2) sqrt(1 + 4 log_(2)x) d) (1)/(2) [1 + sqrt(1 + 4 log_(2)x)]