The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Find attached a graph that I constructed.
To do that graph I used Excel.
First I did a table with this set of points:
<span><span><span>height presuure
</span>
<span>
miles psi
</span>
<span>
0
14,7
</span>
<span>
<---- initial data
3.6 7.35
</span>
<span>
<--- increase hegiht 3.6 miles => half pressure
7.2
3.675
</span>
<span>
<---- second increase of 3.6 miles in height
10. 8
1.8375
</span>
<span>
<---- third increase of 3.6 miles in height
14.4
0.91875
</span>
<span>
18 0.459375
</span>
</span></span>
It's a vertical angle. Add the two angles 143+33=176
then divide by 2 , 176÷2=88
the answer is C. 88°
Just replace X with the given value.
X = -3
f(-3) = 5 - (-3)
f(-3) = 5 +3
f(-3) = 8
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
