How is the product of two functions f and g represented?

The product of two functions ( f ) and ( g ) is represented as ( (f * g)(x) = F(x) * G(x) ). This notation indicates that to find the product of the functions ( f ) and ( g ), you multiply the outputs of each function at the same input value ( x ).

When you multiply two functions, you apply each function to the same input and then multiply the resulting values together. For instance, if ( F(x) ) is the output of function ( f ) when input ( x ) is used, and ( G(x) ) is the output of function ( g ) for the same input, then the combined result, or product of the two functions at that input, is the multiplication of ( F(x) ) and ( G(x) ).

This understanding is foundational in function operations, and it highlights how functions can be manipulated to create new functions through addition, subtraction, multiplication, or division. The other choices represent different operations or are incorrectly formatted, which is why they do not accurately convey the concept of the product of two functions.