[" of fsatisfes the functional equation "3f(x)+28((pi-1)/(x-1))],[" (T) is "]

The function 'f' satisfies the functional equation 3f(x)+2f((x+59)/(x-1))=10x+30 for all real x != 1 , then the value of f(7) is

The function f satisfies the function equation 3f(x) +2f ((x+59)/(x-1))=10 x +30 for all x ne 1. Then the value of f (7) is-

If f(x) satisfies the functional equation x^(2).f(x)+f(1-x)=2x-x^(4) , then f(1/3)=

A function f satisfies the equation 3f(x)+2f((x+59)/(x-1))=10x+30 , (x!=1) then the value of (f(11))/(f(7)) is

A real valued function, f(x) , f:(0,(pi)/(2))rarr R^+ satisfies the differential equation xf'(x)=1+f(x){x^(2)f(x)-1} and f((pi)/(4))=(4)/(pi) , then lim_(x rarr0)f(x) , is

f(x) satisfies the equation (x-1)f((x+1)/(x-1))-f(x)=x,AA x!=1 Find all such functions.

The function f(x) satisfies the equation f(x + 1) + f(x-1) = sqrt3 f(x) . then the period of f(x) is

Let F:[3,infty]to[1,infty] be defined by f(x)=pi^(x(x-3) , if f^(-1)(x) is inverse of f(x) then the number of solution of the equation f(x)=f^(-1)(x) are