What is f(3) for the function f(a) = 2a² + 5a + 4?

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To find f(3) for the function f(a) = 2a² + 5a + 4, we need to substitute the value of a with 3 in the function.

Here are the steps to do this:

  1. Start with the function: f(a) = 2a² + 5a + 4.
  2. Substituting a with 3: f(3) = 2(3)² + 5(3) + 4.
  3. Calculate (3)²: 3² = 9.
  4. Now substitute back into the equation: f(3) = 2(9) + 5(3) + 4.
  5. Multiply: 2(9) = 18 and 5(3) = 15.
  6. Add these results together: f(3) = 18 + 15 + 4.
  7. Finally, calculate: 18 + 15 + 4 = 37.

Thus, the value of f(3) is 37.

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