Fx equal 1 and gx equal xx are f and g the same function?

no, f(x) = 1 and g(x) = xx are not the same function. The first function maps all values of x to 1. In essence, no matter what x is, the value f(x) will always equal 1. g(x) maps all values of x to the square of the number entered. For example, g(2) = 4 while f(2) = 1. Because the two functions do not have equivalent outputs for the same input, they cannot be the same function.