Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
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▹ Answer
<em>1 team</em>
▹ Step-by-Step Explanation
16 ÷ 11 = 1 R 5
1 team can only be formed since you have 16 players. You would need 22 players to form another team, since each team has 11 players.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
The distance from the house to the school is equal to 
Step-by-step explanation:
Let
A-----> the distance from house to the park
B----> the distance from the park to the school
C----> the distance from house to the school
so
we know that
so
Find the the value of C
therefore
The distance from the house to the school is equal to
Answer:
-3 . -22 = 66 Explanation: There is no explanation, just putting this because of the 20 character minimum.
They will both explode at 450ft at 1 1/4 seconds.
