Let $$f(x)\neq0$$ for any '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 $$f(\frac{1}{2})$$?
$$f(1)^2$$ = f(1) => f(1) = 1
f(2)*(f(1/2) = f(1) => 4x = 1
So, f(1/2) = 1/4
Create a FREE account and get: