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.
It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
it costs the zoo 0.86 per day to feed each bat a variety of soft fruits. Hence:
Cost of 17 egyptian fruit bats = $0.86 per day * 17 = $14.62
It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62
Find out more on equation at: brainly.com/question/2972832
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Answer: y=23
Step-by-step explanation: You find the slope by doing rise over run. You go up 6 units and right two units to get from your first point to your second point. (This means your slope is 6/2 which is 3 btw). So with this problem specifically, you can see that the y values increase by 6 each time so all you do is add 6 again since it is a linear (straight line) function
Answer:
230 dimes and 340 quarters sorry if wrong
Step-by-step explanation:
Answer:a : 22.6 b: 42
Step-by-step explanation: add up all your numbers then you divided by the number of digits you have for example:
10 4 1 add these numbers and you got 15 now you divided by three because there are three numbers so it's 5 because 15 div by 3 is 5
