SOLUTION: Let: (f)x=x2+5x+6  (g)x=3x+7   (h)x=4x2 1. g∘h3 2. f∘g∘h0

Algebra ->  Functions -> SOLUTION: Let: (f)x=x2+5x+6  (g)x=3x+7   (h)x=4x2 1. g∘h3 2. f∘g∘h0       Log On


   

Question 1174607: Let: (f)x=x2+5x+6  (g)x=3x+7   (h)x=4x2
1. g∘h3
2. f∘g∘h0





Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
f%28x%29=x%5E2%2B5x%2B6++
g%28x%29=3x%2B7+
h%28x%29=4x%5E2

1. (g∘h)%283%29
first find
(g∘h)%28x%29=g%28h%28x%29%29
(g∘h)%28x%29=g%284x%5E2%29
(g∘h)%28x%29=3%2A4x%5E2%2B7
(g∘h)%28x%29=12x%5E2%2B7
if x=3
(g∘h)%283%29=12%2A3%5E2%2B7
(g∘h)%283%29=12%2A9%2B7
(g∘h)%283%29=115

2. (f∘g∘h)%280%29
(f∘g∘h)%28x%29=f%28g%28h%29%29
(f∘g∘h)%28x%29=f%28g%284x%5E2%29%29
(f∘g∘h)%28x%29=f%2812x%5E2%2B7%29

(f∘g∘h)%28x%29=%2812x%5E2%2B7%29%5E2%2B5%2812x%5E2%2B7%29%2B6++
(f∘g∘h)%28x%29=144x%5E4+%2B+228x%5E2+%2B+90+
if x=0
(f∘g∘h)%280%29=144%2A0%5E4+%2B+228%2A0%5E2+%2B+90+
(f∘g∘h)%280%29=+90+