What is the value of f(g(2)) if f(x) = 2x + 3x and g(x) = x + 2?

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To find the value of f(g(2)), we need to perform the following steps:

  1. Compute g(2):

    2. Given the function g(x) = x + 2, we substitute x with 2:

    g(2) = 2 + 2 = 4
  2. Compute f(g(2)) or f(4):

    3. The function f(x) = 2x + 3x simplifies to f(x) = 5x. Now, we will substitute x with 4:

    f(4) = 5 * 4 = 20

Therefore, the value of f(g(2)) is 20.

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