If \(f(x)=x^2+2x\) and \(g(x)=x^2-2x\), what is the value of the product function \((fg)(1)\)?

Correct answer: -3

For product functions, \((fg)(x)=f(x)g(x)\). Thus, \(f(1)=1^2+2(1)=3\) and \(g(1)=1^2-2(1)=-1\). Therefore, \((fg)(1)=3\times(-1)=-3\), so option B is correct. Option C would result from applying an incorrect operation instead of multiplication. Exam tip: To evaluate \((fg)(a)\), first find \(f(a)\) and \(g(a)\), then multiply them.