`f(x)={tan^-1 x ,|x| lt pi/4 and pi/2-|x| , |x| leq pi/4` ,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.

f (x) = {{:( tan^(-1) x , "," , |x| lt (pi)/(2)) , ((pi)/(2) - |x| , "," , |x| ge (pi)/(2)):} then

Let f(x) =(1- tanx)/(4x-pi) when 0 le x lt pi/2 and x ne pi/4, If f (x) is defined at x =pi/4, then the value of f ((pi)/(4)) is-

f(x) ={{:(,pi/2+x,x le (-pi)/(4)),(,tan x,(-pi)/(4) lt x lt pi/4),(,pi/2-x,x ge pi/4):} then:

If the value of greater of sin x + tan x and 2x (0 lt x lt pi//2) " at" pi//4 " is " g(pi//4) " then " g(pi//4) is equal to

Let f(x) = {((tan x - cot x)/(x-pi/4), ",", x != pi/4),(a, ",", x = pi/4):} The value of a so that f(x) is continuous at x = (pi)/4 , is

If 0 lt x lt (pi)/(4), then sec 2x - tan 2x= ................ A) tan (x- (pi)/(4)) B) tan ((pi)/(4) -x) C) tan (x+(pi)/(4)) D) tan ^(2) (x+ (pi)/(4))

Let f(x)=(1-tan x)/(4x-pi), x ne pi/4, x in [0,pi/2]." If f(x) is continuous in "[0,pi/4]," then "f(pi/4)is