`f(x)={log_e x ,0 lt x lt 1 and x^2-1 ,and x leq 1 and g(x) ={x+1, x lt 2 and x^2-1 ,x leq 2 ` then find `g(f(x))`.

f(x)={(log_(e)x",",0lt x lt 1),(x^(2)-1 ",",x ge 1):} and g(x)={(x+1",",x lt 2),(x^(2)-1 ",",x ge 2):} . Then find g(f(x)).

f(x)={(log_(e)x",",0lt x lt 1),(x^(2)-1 ",",x ge 1):} and g(x)={(x+1",",x lt 2),(x^(2)-1 ",",x ge 2):} . Then find g(f(x)).

f(x)={(log_(e)x",",0lt x lt 1),(x^(2)-1 ",",x ge 1):} and g(x)={(x+1",",x lt 2),(x^(2)-1 ",",x ge 2):} . Then find g(f(x)).

f(x)={(log_(e)x",",0lt x lt 1),(x^(2)-1 ",",x ge 1):} and g(x)={(x+1",",x lt 2),(x^(2)-1 ",",x ge 2):} . Then find g(f(x)).

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

f(x)={x+2, 0lt=x<2 and 6-x , xgeq2 and g(x)={1+tanx , 0 leq x lt pi/4 and 3-cotx , pi/4 leq x lt pi . find fog and discuss the continuity and differentiabillity of fog.

If f(x) = {sinx , x lt 0 and cosx-|x-1| , x leq 0 then g(x) = f(|x|) is non-differentiable for

Let f(x)={(x+1",", x lt1),(2x+1",",1lt x le 2):}" and " g(x)={(x^(3)",", -1 le x lt 2),(x+2",",2 le x le 3):} find fog(x) .

If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} and g(x) = (x-1/2)^2 then find the area bounded by f(x) and g(x) from x = 1/2 to x= sqrt3/2

If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} and g(x) = (x-1/2)^2 then find the area bounded by f(x) and g(x) from x = 1/2 to x= sqrt3/2