So here is the question:
The function f is defined by subtracting 25 from the square of a number and the function g is defined as the square root of one-half of a number. If g(f(x))=10, then which of the following is a possible value of x?
My question is when setting up part of the equation, should I take [/square_root](x/2) or the [/square_root]of x and then divide two...does the root encompass both the numerator and denominator. In my mind, it encompasses both and when I take root two to the other side, I don't get the official answer. What am I not understanding correctly? I'm just brushing up on math rules and would appreciate any help!