SOLUTION: Let: (f)x=x2+5x+6  (g)x=3x+7   (h)x=4x2 1. g∘hx 2. f∘hx 3. h∘g5

Algebra ->  Functions -> SOLUTION: Let: (f)x=x2+5x+6  (g)x=3x+7   (h)x=4x2 1. g∘hx 2. f∘hx 3. h∘g5       Log On


   

Question 1174606: Let: (f)x=x2+5x+6  (g)x=3x+7   (h)x=4x2
1. g∘hx
2. f∘hx
3. h∘g5



Answer by MathLover1(20849) 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)%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


2.
(f∘h)%28x%29=f%28h%28x%29%29
(f∘h)%28x%29=f%284x%5E2%29
(f∘h)%28x%29=%284x%5E2%29%5E2%2B5%284x%5E2%29%2B6
(f∘h)%28x%29=16x%5E4+%2B+20x%5E2+%2B+6
3.
(h∘g)%28x%29=h%28g%28x%29%29
(h∘g)%28x%29=h%283x%2B7%29
(h∘g)%28x%29=4%283x%2B7%29%5E2
(h∘g)%28x%29=4%289x%5E2+%2B+42x+%2B+49%29
(h∘g)%28x%29=36x%5E2+%2B+168x+%2B+196
then
(h∘g)%285%29=36%2A5%5E2+%2B+168%2A5+%2B+196
(h∘g)%285%29=1936