`f(x)={|x+1|;xlt=0x ;x >0` and `g(x)={|x|+1;xlt=1-|x-2|;x >1` Draw its graph and discuss the continuity of `f(x)+g(x)dot`

and g(x)-21x1 hen find f(x)g(x), draw its graph and discuss its continuity.

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

If f(x)=(x+1)/(x-1) and g(x)=(1)/(x-2), then discuss the continuity of f(x),g(x), and fog (x)

If f(x)=(x+3)/(x-3) and g(x)=(1)/(x-7), then discuss the continuity of f(x),g(x) and fog(x)

If f(x)=(x^(2)+1)/(x^(2)-1) and g(x)=tan x, then discuss the continuity of fog(x)

If f(x) = |x+1|{|x| + |x - 1|} , then draw the graph of f(x) in the interval [-2, 2] and discuss the continuity and differentiability in [-2, 2].

f(x)={x+1,x =0 and g(x)={x^(3),x =1 Then find f(g(x)) and find its domain and range.

(c) quad If f(x)={[-x;,xlt0|x-2|;,xgt=0 ,then find the number of solutions of the equation f(f(x))=1

Let f(x)=x^(3)-x^(2)-x+1 and g(x)={max{f(t);0<=t<=x},0<=x<=1,3-x,1<=x<=2 Discuss the continuity and differentiability of the function g(x) in the interval (0,2).