Find the inverse of the function: `f:(-oo,1] rarr [1/2,oo],w h e r ef(x)=2^(x(x-2))`

Find the inverse of the function: f:[-1,1]rarr[-1,1] defined by f(x)=x|x|

Find the inverse of the function: f: R rarr (-oo,1)gi v e nb yf(x)=1-2^(-x)

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

Find the inverse of the function: f(x)={x^3-1, ,x<2 x^2+3,xgeq2

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

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Consider the function f:(-oo,oo)vec(-oo,oo) defined by f(x)=(x^2+a)/(x^2+a),a >0, which of the following is not true? maximum value of f is not attained even though f is bounded. f(x) is increasing on (0,oo) and has minimum at ,=0 f(x) is decreasing on (-oo,0) and has minimum at x=0. f(x) is increasing on (-oo,oo) and has neither a local maximum nor a local minimum at x=0.

IF the domain of the function f(x) =x^2 -6x +7 is (-oo , oo) then range of the function is

Let f(x) be a non-constant twice differentiable function defined on (oo, oo) such that f(x) = f(1-x) and f"(1/4) = 0 . Then

Discuss the continuity of f(x)in[0,2],w h e r ef(x)=(lim)_(nvecoo)(s in(pix)/2)^(2n)