If `f(x)=x^(2)` is a real function, find the value of f(1).

If f(x) is an even function and satisfies the relation x^(2)f(x)-2f(1/x)=g(x),xne0 , where g(x) is an odd function, then find the value of f(2).

If f(x) is an even function and satisfies the relation x^(2)*f(x)-2f((1)/(x))=g(x), where g(x) is an odd function,then find the value of f(5)

If f(x) is an even function then find the number of distinct real numbers x such that f(x)=f((x+1)/(x+2))

A function is defined as f(x)=x^(2)-3x. Find the value of f(2). Find the value of x for which f(x)=4

If f(x) is a real valued function defined as f(x)=In(1-sin x) then graph of f(x) is

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

If two real functions f and g such that f(x)=x^(2) and g(x)=[x] , then the value of f(-2)+g(-1/2) is

Solve the following problems from (i) to (v) on functional equation. (i) The function f(x) defined on the real numbers has the property that f(f(x)) . (1 + f(x)) = –f(x) for all x in the domain of f. If the number 3 is the domain and range of f, compute the value of f(3). (ii) Suppose f is a real function satisfying f(x + f(x)) = 4f(x) and f(1) = 4. Find the value of f(21). (iii) Let 'f' be a function defined from R^(+) to R^(+) . [f(xy)]^(2) = x (f(y))^(2) for all positive numbers x and y and f (2) = 6 , find the value of f (50) . (iv) Let f(x) be a function with two properties (a) for any two real number x and y, f(x + y)= x + f(y) and (b) f(0) = 2. Find the value of f(100). (v) Let f(x) be function such that f(3) = 1 and f(3x) = x + f(3x – 3) for all x. Then find the value of f(300).