The root -2 leads to the factor (x+2). The other 2 factors are (x-5) and (x-6).
Then the poly is f(x) = (x+2)(x-5)(x-6).
Knowing she makes $9 for each 1 hour, you know that if you'd need to find how much she made after 4 hours, you would do 9(4), giving you the answer of $36.
With this knowledge, you can replace the 4 with h.
9(h)=P
The reason why it's such a simple equation is because it's per hour and nothing else is being increased, decreased, or changed.
Hope this helps!
Answer:
Step-by-step explanation:
<h3>Given</h3>
- h(x) = (f ο g)(x)
- h(x) =

- f(x) =

<h3>To find</h3>
<h3>Solution</h3>
<u>We know that:</u>
<u>Substitute x with g(x) and solve for g(x):</u>
= 
- x + 5 = g(x) + 2
- x + 3 = g(x)
- g(x) = x + 3