To solve for f(g(x)) when x = 1, we first need to calculate g(1).
We know g(x) = x + 3. Therefore, when we plug in 1:
g(1) = 1 + 3 = 4.
Now that we have g(1), we will use this result to find f(g(1)). Since g(1) = 4, we need to find f(4).
We know f(x) = 5x + 10. Plugging in 4:
f(4) = 5(4) + 10 = 20 + 10 = 30.
So, f(g(1)) = f(4) = 30.
In summary, when x = 1, the value of f(g(x)) is 30.