How do you solve for f(g(x)) when x = 1 given the functions f(x) = 5x + 10 and g(x) = x + 3?

To solve for f(g(x)) when x = 1, we will first evaluate g(x) for x = 1 and then substitute that result into f(x).

  1. Find g(1):
    Since the function g(x) = x + 3, we can substitute x with 1:
    g(1) = 1 + 3 = 4.

  2. Now, we substitute g(1) into f(x):
    The function is defined as f(x) = 5x + 10, so now we evaluate f(4):
    f(4) = 5(4) + 10 = 20 + 10 = 30.

So, the final result for f(g(1)) is 30.

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