How do I find f(g(4)) if f(x) = 5x and g(x) = 3x + 7?

To find f(g(4)), we need to first evaluate g(4) using the function g(x) = 3x + 7. Let’s break down the steps:

  1. Calculate g(4):
    • Substitute 4 into the function g:
    • g(4) = 3(4) + 7
    • g(4) = 12 + 7
    • g(4) = 19
  2. Now calculate f(g(4)) or f(19):
    • Substitute 19 into the function f:
    • f(19) = 5(19)
    • f(19) = 95

Thus, the final result is:

f(g(4)) = 95

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