F(x) =x^2+x-6 and g(x)=x-2

Find f(g(2))

To find f(g(2)), first calculate g(2):

g(2) = 2 - 2 = 0

Now plug this result into f(x) to find f(g(2)):
f(g(2)) = f(0) = 0^2 + 0 - 6 = -6

Therefore, f(g(2)) = -6.