If f(x) = x^2 + 1 and g(x) = x + 4, which value is equivalent to f(g(10))?

To find the value of f(g(10)), we need to first calculate g(10) and then use that result to find f.

Starting with g(x):

g(x) = x + 4

Plugging in 10:

g(10) = 10 + 4 = 14

Now that we have g(10), we can find f(g(10)) or f(14):

f(x) = x² + 1

So, f(14) = 14² + 1 = 196 + 1 = 197

Thus, the value of f(g(10)) is 197.