Question

If F(x) = x? + 1 and g(x) = x - 4, which value is equivalent to (fog) (10)

37
97
126
606

Answer 1

First, we need to find (fog)(x), which means we need to plug g(x) into f(x):

f(g(x)) = f(x-4) = (x-4)^2 + 1 = x^2 - 8x + 17

Then, we can find (fog)(10) by plugging in 10 for x:

(fog)(10) = f(g(10)) = f(10-4) = f(6) = 6^2 + 1 = 37

Therefore, (fog)(10) is equal to 37.