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which expression is equivalent to \\((st)(6)\\)? \\(s(t(6))\\) \\(s(x) …

Question

which expression is equivalent to \\((st)(6)\\)?

\\(s(t(6))\\)
\\(s(x) \cdot t(6)\\)
\\(s(6) \cdot t(6)\\)
\\(6 \cdot s(x) \cdot t(x)\\)

Explanation:

Apply the definition of function multiplication

$$ (st)(x) = s(x) \cdot t(x) $$

Evaluate the combined function at the given value

$$ (st)(6) = s(6) \cdot t(6) $$

Answer:

  • (A) \(s(t(6))\)
  • (B) \(s(x) \cdot t(6)\)
  • (C) \(s(6) \cdot t(6)\) (Correct answer)
  • (D) \(6 \cdot s(x) \cdot t(x)\)