Find the inverse of the function :`y=(1 0^x-1 0^(-x))/(1 0^x+1 0^(-x))+1`

Find the inverse function of the function f(x) = 2^(x(x - 1)) (x gt 0) .

Find the inverse of the function y=log_(a) (x+sqrt(x^(2)+1)), (a gt 0, a ne 1)

Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e^((1)/(x)))",","if " x ne 0),(0",","if" x = 0):} at x= 0

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[x0 0 0y0 0 0z] , is [x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (b) x y z[x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (c) 1/(x y z)[x0 0 0y0 0 0z] (d) 1/(x y z)[1 0 0 0 1 0 0 0 1]

The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1] is

The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1] is

Discuss the continuiy of the function f(x)={(1/x ", " x ne 0),(1", " x=0):} at x=0.

Check the continuity of the following functions: f(x){(1)/(1-e^((1)/(x))),x!=0 and 0,x=0

Find the area of the region {(x,y):0<=y<=x^(2)+1,0<=y<=x+1,0<=x<=2}