" EXAMRER If "f(x)={[|x|+1,,x<0],[||x|-1,,x=0],[|x|-1," For what value(s) of "a'" does "lim_(x rarr a)f(x)" exist? "]

let ( f(x) = 1-|x| , |x| 1 ) g(x)=f(x+1)+f(x-1)

If f(x)={{:(,(x)/(1+|x|),|x|ge 1),(,(x)/(1-|x|),|x| lt 1):} then f(x) is

If f(x)=-x|x| ,then f^(-1)(x) is :

(1) If f(x+(1)/(x))=x-(1)/(x) then f(x) is

Find f(f(x)) if f(x)=x+1;0<=x<=1 and 1-x;1

Find f {f (x)} if f(x)=(x+1)/(x-1)

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2) (0) = 1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R . then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1