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))
Answer:
= 34.5
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 121.5, then
a₁ + (69 × 1.5) = 121.5
a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )
a₁ = 18
Hence
= 18 + (11 × 1.5) = 18 + 16.5 = 34.5
Answer:
Option C.
Step-by-step explanation:
The given expression is
It can be rewritten as
According to De moivre's Theorem:
Using De moivre's Theorem, we get
Therefore, the correct option is C.
Answer: 1.4 mph
Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.
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You are to invent x^2, x and constant terms that sum up to specified figures.
You could begin with 6x^2-8x^2, which sums up to -2x^2.
Next, try 7x-4x, which subtract to 3x.
Last, choose two constants that sum up to 3.
Your poly? 6x^2 - *x^2 + 7x - 4x + ? + ?