If `f(x)={4, -3 lt x lt -1 and 5+x, -1 leq x lt 0 and 5-x , 0 leq x lt 2 and x^2+x-3, 2 leq x lt 3`, then `f(|x|)` is

If f(x)={{:(,4,-3lt x lt -1),(,5+x,-1le x lt 0),(,5-x,0 le x lt 2),(,x^(2)+x-3,2 lt x lt 3):} then, f(|x|) is

If f(x)={{:(,4,-3lt x lt -1),(,5+x,-1le x lt 0),(,5-x,0 le x lt 2),(,x^(2)+x-3,2 lt x lt 3):} then, f(|x|) is

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

If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3 , then f is

f(x) = (2x^(2) + 3)/(5) , for oo lt x le 1 = 6 -5x , for 1 lt x lt 3 = x-3 , for 3 le x lt 8 , then

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 sin2x=cos3x and 0 leq x lt pi/2 then x=

f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 = x-3, for 3 le x lt 8, then