(iv)f(x)=(4x^(2)+1)/(x),x!=0

If f(2x+(1)/(x))=x^(2)+(1)/(4x^(2))+1(x!=0), the value of f(x) is

If f(x)=(4x(x^(2)+1))/(x^(2)+(x^(2)+1)^(2)),x>=0 then the maximum value of f(x)=k. The value of (5)/(2)k is :

If 5f(x)+4f((1)/(x))=x-1,x!=0 then write the value of 9f(2)

Let f(x)+f(y)=f(x sqrt(1-y^(2))+y sqrt(1-x^(2)))[f(x) is not identically zerol.Then f(4x^(3)-3x)+3f(x)=0f(4x^(3)-3x)=3f(x)f(2x sqrt(1-x^(2))+2f(x)=0f(2x sqrt(1-x^(2))=2f(x)

Let f(1):R to R, f_(2):[0,oo) to R, f_(3):R to R and f_(4):R to [0,oo) be a defined by f_(1)(x)={{:(,|x|,"if "x lt 0),(,e^(x),"if "x gt 0):}:f_(2)(x)=x^(2),f_(3)(x)={{:(,sin x,"if x"lt 0),(,x,"if "x ge 0):} and f_(4)(x)={{:(,f_(2)(f_(1)(x)),"if "x lt 0),(,f_(2)(f_(1)(f_(1)(x)))-1,"if "x ge 0):} Then, f_(4) is

Let f(1):R to R, f_(2):[0,oo) to R, f_(3):R to R and f_(4):R to [0,oo) be a defined by f_(1)(x)={{:(,|x|,"if "x lt 0),(,e^(x),"if "x gt 0):}:f_(2)(x)=x^(2),f_(3)(x)={{:(,sin x,"if x"lt 0),(,x,"if "x ge 0):} and f_(4)(x)={{:(,f_(2)(f_(1)(x)),"if "x lt 0),(,f_(2)(f_(1)(f_(1)(x)))-1,"if "x ge 0):} Then, f_(4) is

Let f_(1):R to R, f_(2):[0,oo) to R, f_(3):R to R and f_(4):R to [0,oo) be a defined by f_(1)(x)={{:(,|x|,"if "x lt 0),(,e^(x),"if "x gt 0):}:f_(2)(x)=x^(2),f_(3)(x)={{:(,sin x,"if x"lt 0),(,x,"if "x ge 0):} and f_(4)(x)={{:(,f_(2)(f_(1)(x)),"if "x lt 0),(,f_(2)(f_(1)(f_(1)(x)))-1,"if "x ge 0):} then f_(2) of f_(1) is

If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =