If `f(x)={{:(-x+1",",xle0,),(,,",then the number of solutions"),(-(x-1)^(2)",",xge1,):}` of `f(x)-f^(-1)(x)=0` is

If f(x)=x(-1)^[1/x] xle0 , then the value of lim_(xto0)f(x) is equal to

If f(x)={0,x<1 and 2x-2,x<=1 then the number of solutions of the equation f(f(f(x)))=x is

If f(x)={{:(2x-1,"when "xle0),(x^(2),"when "xgt0):},"then find "f((1)/(2)) and f((-1)/(2))

If f(x)={{:(3x-1" when "xle0),(x+1" when "xgt0):} , find f(-1) and f(0).

Let f(x)={{:(x+2",",xlt-1),(x^(2)",",-1lexlt1),((x-2)^(2)",",xge1):} Then number of times f(x) changes its sign in (-oo,oo) is

If f(x)={{:(-e^(-x)+k,",",xle0),(e^(x)+1,",",0ltxlt1),(ex^(2)+lambda,",",xge1):} is one-one and monotonically increasing AA x in R , then

If f(x)={{:(-e^(-x)+k,",",xle0),(e^(x)+1,",",0ltxlt1),(ex^(2)+lambda,",",xge1):} is one-one and monotonically increasing AA x in R , then

If f(x)={{:(-e^(-x)+k,",",xle0),(e^(x)+1,",",0ltxlt1),(ex^(2)+lambda,",",xge1):} is one-one and monotonically increasing AA x in R , then