If `f(x)=(1)/(x+1)`,then find `f(x)+f((1)/(x))`

If f(x)=(x-|x|)/(|x|) , then find f(-1).

If f(x)=(x-4)/(2sqrt(x)) , then find f'(1)

If f(x)=log((1+x)/(1-x)),t h e n (a) f(x_1)f(x_2)=f(x_1+x_2) (b) f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^2+x) (d) f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=1/(f(x))

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=-1/(f(x))

If f(x)= {4 - (x-7)^(3)} , then find f^(-1)(x)=

If f(x) -1/x , then f(a)+ f((1)/(a))=

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to (a)(f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1)) (f(x)-1)/(a(f(x)+1)) (d) (f(x)+1)/(a(f(x)+1))

If f_1(x)=(1)/(x), f_(2) (x)=1-x, f_(3) (x)=1/(1-x) then find J(x) such that f_(2) o J o f_(1) (x)=f_(3) (x) (a) f_(1) (x) (b) (1)/(x) f_(3) (x) (c) f_(3) (x) (d) f_(2) (x)

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)