List of top Quantitative Aptitude Questions on Functions

For any non-zero real number x, let\( f(x) + 2f\left(\frac{1}{x}\right) = 3x.\)Then, the sum of all possible values of x  for which f(x) = 3, is

A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is

If $f(x,y) = 2x^2 + 3xy- 3y^2+3$ , then what is the value of f(f(3, 2), f(–2, –1))?