Question

which expression is equivalent to \\((fg)(5)\\)?

\\(f(5) \times g(5)\\)
\\(f(5) + g(5)\\)
\\(5f(5)\\)
\\(5g(5)\\)

Explanation:

Define the function multiplication notation

$$ (fg)(x) = f(x) \times g(x) $$

Substitute the given value into the definition

$$ (fg)(5) = f(5) \times g(5) $$

Answer:

• (A) \(f(5) \times g(5)\) (Correct answer)
• (B) \(f(5) + g(5)\)
• (C) \(5f(5)\)
• (D) \(5g(5)\)