If `f(x)=x-2, x le 0 and 4-x^2,x > 0,` then discuss the continuity of `y=f(f(x)).`

If f(x)={{:(x-2,xlt=0) , (4-x^2,x >0):} , discuss continuity of y=f(f(x))

Discuss the continuity of f(x)=sgn(x^2-2x+3)

Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

Discuss the continuity of f(x)={(x^2)/(|x|),x!=0 0,x=0

Let f(x) ={{:(1+x,0lexle2),(3-x,2ltxle3):} then discuss the continuity of g(x) =f(f(x)).

Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 and discuss the continuity or discontinuity of f in the interval -1 le x le 1

If f(x) = (|X|)/(X) . Discuss the continuity at x rarr 0

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):} Discuss the continuity

A function f(x) is defined by, f(x) = {{:(([x^(2)]-1)/(x^(2)-1)",","for",x^(2) ne 1),(0",","for",x^(2) = 1):} Discuss the continuity of f(x) at x = 1.

If f(x) = {|x|-|x-1|}^(2) , draw the graph of f(x) and discuss its continuity and differentiability of f(x)