Answer:
Step-by-step explanation:
6x - 3 - 11
6(4) - 3 - 11
24 - 14
10
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:
John is 31
Ella is 25
Step-by-step explanation:
Let sister's age be x, then John's age is (x + 6). So from sentence 2,
(3x) - 2(x + 6) = 13
3x - 2x - 12 = 13
x = 13 + 12 = 25
and x + 6 = 31
Answer:
The option "C" is correct
#in my opinion#
Step-by-step explanation:
The size of a screen is generally measured diagonally.
Thus to find the diagonal length,
we take help from Pythagoras theorem
where h (hypotenuse) is the diagonal length, b (base) is the length of horizontal side, and p (perpendicular) is the length of the vertical side of the TV,
THUS the diagonal length or hypotenuse
Here's your answers! Hope this helps.
