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))
240
/ \
5 48
/ \
6 8
/ \ / \
3 2 4 2
43.21-38.99=4.22
the difference is 4.22 ounces in weight.
Answer:
1 - 1/10
Step-by-step explanation:
As strange as it may seem, the easiest way to answer this question is to calculate the probability of selecting an elephant first and then to subtract this probability from 1:
Adding up the Numbers of animals, we get 12+4+3+11, or 30. The probability of selecting an elephant is thus 3/30, or 1/10.
Thus, the probability of NOT selecting an elephant is 1 - 1/10 (Answer A).
