Let f(X)= X^2 + 6 and g(x)= x+8/x
Find (g° f)(-7).
To find (g° f)(-7), we need to first find f(-7) and then plug that result into g(x).
1. Find f(-7):
f(X) = X^2 + 6
f(-7) = (-7)^2 + 6
f(-7) = 49 + 6
f(-7) = 55
2. Plug f(-7) into g(x):
g(x) = x + 8/x
g(55) = 55 + 8/55
g(55) = 110/11 + 8/55
g(55) = (550 + 88)/55
g(55) = 638/55
Therefore, (g° f)(-7) = 638/55.