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.
Answer:
So the total is 400 and then you have 4 servings
so 400/4 = 100 cal per serving
Answer:
$6.44
Step-by-step explanation:
Take your $32.20 and X's it by 20% = $6.44
Mark brainilist pls!
Answer:
Range = 5
Mode = 7
Step-by-step explanation:
To find range we first need to find the highest number and the lowest number
3 , 4 , 4 , 7 , 7 ,7 ,7 7, 8
least number = 3
highest number = 8
now substract the lowest number from the highest to get the range
= 8-3
= 5
range = 5
Mode : the most common number in the list will be our mode
7 is our mode as it came 5 time in the list
