Show that the function defined by `f(x)=(3-2x), x lt2` and `f(x)=3x-7, x geq 2` is not derivable at `x=2`

Show that the function defined by: f(x) : {:{(3-2x,ifx<2),(3x-7,ifxge2):} is not derivable at x =2.

The function defined as f(x) = 2x^(3) -6x +3 is

Show that the function f, defined by f(x) ={(2x, x 2):} is discontinuous at x = 2.

Show that the function f: N rarr N defined by f(x)= 2x + 3 , where x in N , is not bijective.

A function is defined by f(x)=2x-3 Find x such that f(x)=f(1-x) .

Show that the function f defined as follows f(x)={3x-2,0 2 is continous at x=2 but not differentiable.

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

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

Show that the function f defined as follows, is continuoius at x=2, but not differentiable at x=2. f(x)={{:(3x-2, 0 lt x le 1),(2x^(2)-x, 1 lt x le 2),(5x-4,x gt 2):} .