The function f(x) given by
`f(x)=|{:(x-1", "x+1", "2x+1),(x+1", "x+3", "2x+3),(2x+1", "2x-1", "4x+1):}|` has

The function f(x) =(sqrt(x^(2)+3)-2)/(x-1)"for "x ne 1, f(1)=1//2" at x=1 is "

The function f(x)=3-2(x+1)^(1//3) has a

If the function f be defined by f(x) =(2x +1)/(1-3x) , then f ^(-1) (x) is-

Consider the function f:R -{1} given by f (x)= (2x)/(x-1) Then f^(-1)(x) =

Show that the function f (x) = {{:( x, if x lt 1), ( 6 -2x , if 1 le x le 3), ( x ^(2) - 4x + 3, if x gt 3):} is not differentiable at x = 1,3

Consider the function f:R -{1} given by f (x)= (2x)/(x-1) Then f'(1) =

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is

If a function f(x) is given by f(x)=(x)/(1+x)+(x)/((x+1)(2x+1))+(x)/((2x+1)(3x+1))+...oo then at x=0,f(x)