Let f(x) = x2+2 and g(x) = x+5x . Find (f ∘ g)(−4)
First, we need to find g(-4):
g(-4) = -4 + 5(-4) = -4 - 20 = -24
Next, we need to find f(g(-4)):
f(g(-4)) = f(-24) = (-24)2 + 2 = 576 + 2 = 578
Therefore, (f ∘ g)(-4) = 578.
g(-4) = -4 + 5(-4) = -4 - 20 = -24
Next, we need to find f(g(-4)):
f(g(-4)) = f(-24) = (-24)2 + 2 = 576 + 2 = 578
Therefore, (f ∘ g)(-4) = 578.