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f (x*y) = f(x) + f(y)
f(2401) = 10/3 and f(729) = 18
then f(343 * √3) = ?
A certain function f satisfies the equation f(x)+2*f(6x) = x for all real numbers x. The value of f(1) is
If f(x) = x^{3}  4x + p, and f(0) and f(1) are of opposite sign, then which of the following is necessarily true ?
Let f(x) be a function satisfying f(x) f(y) = f (xy) for all real x, y. If f (2) = 4, then what is the value of f (1/2)?
For two positive integers a and b define the function h(a,b) as the greatest common factor (G.C.F) of a, b. Let A be a set of n positive integers. G(A), the G.C.F of the elements of set A is computed by repeatedly using the function h. The minimum number of times h is required to be used to compute G is
Let f (x) = max (2x + 1, 3 − 4x), where x is any real number. Then the minimum possible value of f(x) is :
A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10 ?
A function f(x) satisfies f(1) = 3600, and f(1) + f(2) +...+ f(n) = n² f(n), for all positive integers n > 1. What is the value of f(9) ?
Let g (x) be a function such that g (x + 1) + g (x – l) = g (x) for every real x. Then for what value of p is the relation g (x + p) = g (x) necessarily true for every real x ?
185 videos158 docs113 tests

185 videos158 docs113 tests
