Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
From symmetry of sin(x) about pi/2, we know that sin(x)=sin(pi-x).
Therefore
sin(x)+sin(pi-x)=sin(x)+sin(x)=2sin(x).
2500 divided by 100 is 25. If you multiply 25 times 3 you'll get 75. Repeat those steps (answers will be different each time) five times. You will get the answer.
Don't want to do that? OK! I'll do it for you!
Answer: <span>2577.31958575</span>
4(x+0.5) is the answer if your trying to simplify it
8x + 3 - 2(6 + 3x)
8(-6) + 3 - 2(6 + 3(-6))
-48 + 3 - 2(6 - 18)
-48 + 3 - 2(-12)
-45 + 24
-21