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.
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
1 foot = 12 inches
(1 foot)³ = (12 inches)³
12³ = 1,728 in³
To change 10 cubic feet into cubic inches
10 ft³ x 1728 in³/ft³ = 17,280 in³
So the answer will be:
C. Multiply by 1,728
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The statement is represented as 2(c- 5). Option D
<h3>
What are algebraic expressions?</h3>
Algebraic expressions are expressions consisting of variables, terms, factors, and constants.
They are also made up of mathematical operations such as addition, bracket, subtraction, division, multiplication, etc
From the information given, we have;
- total cost of 2 dance tickets
- price of c for each, less a one-time $5 discount
Expressed as;
2(c- 5)
Thus, the statement is represented as 2(c- 5). Option D
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Answer: The correct answer would be B.
Step-by-step explanation:
Because....
24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.
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<em>∞ 234483279c20∞</em>