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Which expression is equivalent to (fg)(5)?

Question

Which expression is equivalent to (fg)(5)?

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Solution

Step 1: Define the Problem

Identify the expression equivalent to (fg)(5)(fg)(5), where ff and gg are functions.

Step 2: Break Down the Problem

  1. Understand that (fg)(x)(fg)(x) represents the product of two functions, f(x)f(x) and g(x)g(x).
  2. Substitute x=5x = 5 into the expression.

Step 3: Apply Relevant Concepts

  • The expression (fg)(x)(fg)(x) is equivalent to f(x)g(x)f(x) \cdot g(x).
  • Therefore, (fg)(5)=f(5)g(5)(fg)(5) = f(5) \cdot g(5).

Step 4: Analysis, Verify and Summarize

  • To find (fg)(5)(fg)(5), calculate f(5)f(5) and g(5)g(5) separately, then multiply the results.

Final Answer

The expression equivalent to (fg)(5)(fg)(5) is f(5)g(5)f(5) \cdot g(5).

This problem has been solved

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