Question

Which statement correctly distinguishes composition of functions from multiplication of functions?

Options

• Composition and multiplication of functions are always the same operation.

• Composition means one rule after another; multiplication of functions is a different operation.

• Composition is possible for any two functions, unlike multiplication.

• Composition means adding function values; multiplication means applying one rule after another.

Answer 1

Composition applies one function to the output of another, as in \(g(f(x))\). Multiplication forms the product \(f(x)g(x)\), so the two operations are different.